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Finding the Third Proportional to 791,042 and 1,177,635

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Solution

The third proportional to 791,042 and 1,177,635 is: 1,753,161.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    791,042 : 1,177,635 = 1,177,635 : x
  2. Step 2: Convert to fraction form
    791,042/1,177,635 = 1,177,635/x
  3. Step 3: Cross multiply
    791,042x = 1,177,635 × 1,177,635
  4. Step 4: Simplify right side
    791,042x = 1,386,824,193,225
  5. Step 5: Solve for x
    x = 1,386,824,193,225/791,042
  6. Step 6: Final answer
    x = 1,753,161.26

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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.