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Finding the Third Proportional to 663,531.75 and 1,439,410.50

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Solution

The third proportional to 663,531.75 and 1,439,410.50 is: 3,122,537.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,531.75 : 1,439,410.50 = 1,439,410.50 : x
  2. Step 2: Convert to fraction form
    663,531.75/1,439,410.50 = 1,439,410.50/x
  3. Step 3: Cross multiply
    663,531.75x = 1,439,410.50 × 1,439,410.50
  4. Step 4: Simplify right side
    663,531.75x = 2,071,902,587,510.25
  5. Step 5: Solve for x
    x = 2,071,902,587,510.25/663,531.75
  6. Step 6: Final answer
    x = 3,122,537.22

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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.