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Finding the Third Proportional to 726,472,714 and 1,127,987,727

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Solution

The third proportional to 726,472,714 and 1,127,987,727 is: 1,751,416,519.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,472,714 : 1,127,987,727 = 1,127,987,727 : x
  2. Step 2: Convert to fraction form
    726,472,714/1,127,987,727 = 1,127,987,727/x
  3. Step 3: Cross multiply
    726,472,714x = 1,127,987,727 × 1,127,987,727
  4. Step 4: Simplify right side
    726,472,714x = 1,272,356,312,262,626,560
  5. Step 5: Solve for x
    x = 1,272,356,312,262,626,560/726,472,714
  6. Step 6: Final answer
    x = 1,751,416,519.50

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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.