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Finding the Third Proportional to 749,017.13 and 1,059,836.91

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Solution

The third proportional to 749,017.13 and 1,059,836.91 is: 1,499,637.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,017.13 : 1,059,836.91 = 1,059,836.91 : x
  2. Step 2: Convert to fraction form
    749,017.13/1,059,836.91 = 1,059,836.91/x
  3. Step 3: Cross multiply
    749,017.13x = 1,059,836.91 × 1,059,836.91
  4. Step 4: Simplify right side
    749,017.13x = 1,123,254,267,849.57
  5. Step 5: Solve for x
    x = 1,123,254,267,849.57/749,017.13
  6. Step 6: Final answer
    x = 1,499,637.63

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.