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Finding the Third Proportional to 1,083,022,493 and 1,674,214,700

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Solution

The third proportional to 1,083,022,493 and 1,674,214,700 is: 2,588,122,481.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083,022,493 : 1,674,214,700 = 1,674,214,700 : x
  2. Step 2: Convert to fraction form
    1,083,022,493/1,674,214,700 = 1,674,214,700/x
  3. Step 3: Cross multiply
    1,083,022,493x = 1,674,214,700 × 1,674,214,700
  4. Step 4: Simplify right side
    1,083,022,493x = 2,802,994,861,696,090,112
  5. Step 5: Solve for x
    x = 2,802,994,861,696,090,112/1,083,022,493
  6. Step 6: Final answer
    x = 2,588,122,481.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.