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Finding the Third Proportional to 729,251.81 and 1,103,938.69

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Solution

The third proportional to 729,251.81 and 1,103,938.69 is: 1,671,138.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,251.81 : 1,103,938.69 = 1,103,938.69 : x
  2. Step 2: Convert to fraction form
    729,251.81/1,103,938.69 = 1,103,938.69/x
  3. Step 3: Cross multiply
    729,251.81x = 1,103,938.69 × 1,103,938.69
  4. Step 4: Simplify right side
    729,251.81x = 1,218,680,625,759.22
  5. Step 5: Solve for x
    x = 1,218,680,625,759.22/729,251.81
  6. Step 6: Final answer
    x = 1,671,138.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.