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Finding the Third Proportional to 813,123.56 and 1,748,872.69

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Solution

The third proportional to 813,123.56 and 1,748,872.69 is: 3,761,489.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,123.56 : 1,748,872.69 = 1,748,872.69 : x
  2. Step 2: Convert to fraction form
    813,123.56/1,748,872.69 = 1,748,872.69/x
  3. Step 3: Cross multiply
    813,123.56x = 1,748,872.69 × 1,748,872.69
  4. Step 4: Simplify right side
    813,123.56x = 3,058,555,677,083.47
  5. Step 5: Solve for x
    x = 3,058,555,677,083.47/813,123.56
  6. Step 6: Final answer
    x = 3,761,489.42

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.