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Finding the Third Proportional to 481,615,868 and 1,055,243,200

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Solution

The third proportional to 481,615,868 and 1,055,243,200 is: 2,312,087,879.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,615,868 : 1,055,243,200 = 1,055,243,200 : x
  2. Step 2: Convert to fraction form
    481,615,868/1,055,243,200 = 1,055,243,200/x
  3. Step 3: Cross multiply
    481,615,868x = 1,055,243,200 × 1,055,243,200
  4. Step 4: Simplify right side
    481,615,868x = 1,113,538,211,146,240,000
  5. Step 5: Solve for x
    x = 1,113,538,211,146,240,000/481,615,868
  6. Step 6: Final answer
    x = 2,312,087,879.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.