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Finding the Third Proportional to 683,984.25 and 1,022,149.13

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Solution

The third proportional to 683,984.25 and 1,022,149.13 is: 1,527,504.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,984.25 : 1,022,149.13 = 1,022,149.13 : x
  2. Step 2: Convert to fraction form
    683,984.25/1,022,149.13 = 1,022,149.13/x
  3. Step 3: Cross multiply
    683,984.25x = 1,022,149.13 × 1,022,149.13
  4. Step 4: Simplify right side
    683,984.25x = 1,044,788,833,738.27
  5. Step 5: Solve for x
    x = 1,044,788,833,738.27/683,984.25
  6. Step 6: Final answer
    x = 1,527,504.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.