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Finding the Third Proportional to 669,871.69 and 1,006,327.13

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Solution

The third proportional to 669,871.69 and 1,006,327.13 is: 1,511,773.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,871.69 : 1,006,327.13 = 1,006,327.13 : x
  2. Step 2: Convert to fraction form
    669,871.69/1,006,327.13 = 1,006,327.13/x
  3. Step 3: Cross multiply
    669,871.69x = 1,006,327.13 × 1,006,327.13
  4. Step 4: Simplify right side
    669,871.69x = 1,012,694,282,510.77
  5. Step 5: Solve for x
    x = 1,012,694,282,510.77/669,871.69
  6. Step 6: Final answer
    x = 1,511,773.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.