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Finding the Third Proportional to 728,125 and 1,139,714

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Solution

The third proportional to 728,125 and 1,139,714 is: 1,783,962.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,125 : 1,139,714 = 1,139,714 : x
  2. Step 2: Convert to fraction form
    728,125/1,139,714 = 1,139,714/x
  3. Step 3: Cross multiply
    728,125x = 1,139,714 × 1,139,714
  4. Step 4: Simplify right side
    728,125x = 1,298,948,001,796
  5. Step 5: Solve for x
    x = 1,298,948,001,796/728,125
  6. Step 6: Final answer
    x = 1,783,962.92

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.