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Finding the Third Proportional to 722,013.75 and 1,122,508.13

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Solution

The third proportional to 722,013.75 and 1,122,508.13 is: 1,745,153.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,013.75 : 1,122,508.13 = 1,122,508.13 : x
  2. Step 2: Convert to fraction form
    722,013.75/1,122,508.13 = 1,122,508.13/x
  3. Step 3: Cross multiply
    722,013.75x = 1,122,508.13 × 1,122,508.13
  4. Step 4: Simplify right side
    722,013.75x = 1,260,024,490,691.02
  5. Step 5: Solve for x
    x = 1,260,024,490,691.02/722,013.75
  6. Step 6: Final answer
    x = 1,745,153.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.