Home / 1,023,493,173.19-1,462,598,420.63

Finding the Third Proportional to 1,023,493,173.19 and 1,462,598,420.63

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Solution

The third proportional to 1,023,493,173.19 and 1,462,598,420.63 is: 2,090,091,263.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023,493,173.19 : 1,462,598,420.63 = 1,462,598,420.63 : x
  2. Step 2: Convert to fraction form
    1,023,493,173.19/1,462,598,420.63 = 1,462,598,420.63/x
  3. Step 3: Cross multiply
    1,023,493,173.19x = 1,462,598,420.63 × 1,462,598,420.63
  4. Step 4: Simplify right side
    1,023,493,173.19x = 2,139,194,140,014,744,320
  5. Step 5: Solve for x
    x = 2,139,194,140,014,744,320/1,023,493,173.19
  6. Step 6: Final answer
    x = 2,090,091,263.97

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.