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Finding the Third Proportional to 731,872.50 and 1,585,920

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Solution

The third proportional to 731,872.50 and 1,585,920 is: 3,436,585.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,872.50 : 1,585,920 = 1,585,920 : x
  2. Step 2: Convert to fraction form
    731,872.50/1,585,920 = 1,585,920/x
  3. Step 3: Cross multiply
    731,872.50x = 1,585,920 × 1,585,920
  4. Step 4: Simplify right side
    731,872.50x = 2,515,142,246,400
  5. Step 5: Solve for x
    x = 2,515,142,246,400/731,872.50
  6. Step 6: Final answer
    x = 3,436,585.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.