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Finding the Third Proportional to 744,714 and 1,607,508

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Solution

The third proportional to 744,714 and 1,607,508 is: 3,469,898.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    744,714 : 1,607,508 = 1,607,508 : x
  2. Step 2: Convert to fraction form
    744,714/1,607,508 = 1,607,508/x
  3. Step 3: Cross multiply
    744,714x = 1,607,508 × 1,607,508
  4. Step 4: Simplify right side
    744,714x = 2,584,081,970,064
  5. Step 5: Solve for x
    x = 2,584,081,970,064/744,714
  6. Step 6: Final answer
    x = 3,469,898.47

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.