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Finding the Third Proportional to 721,064.25 and 1,044,417.38

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Solution

The third proportional to 721,064.25 and 1,044,417.38 is: 1,512,774.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,064.25 : 1,044,417.38 = 1,044,417.38 : x
  2. Step 2: Convert to fraction form
    721,064.25/1,044,417.38 = 1,044,417.38/x
  3. Step 3: Cross multiply
    721,064.25x = 1,044,417.38 × 1,044,417.38
  4. Step 4: Simplify right side
    721,064.25x = 1,090,807,653,201.89
  5. Step 5: Solve for x
    x = 1,090,807,653,201.89/721,064.25
  6. Step 6: Final answer
    x = 1,512,774.56

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.