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Finding the Third Proportional to 791,040 and 1,177,632

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Solution

The third proportional to 791,040 and 1,177,632 is: 1,753,156.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    791,040 : 1,177,632 = 1,177,632 : x
  2. Step 2: Convert to fraction form
    791,040/1,177,632 = 1,177,632/x
  3. Step 3: Cross multiply
    791,040x = 1,177,632 × 1,177,632
  4. Step 4: Simplify right side
    791,040x = 1,386,817,127,424
  5. Step 5: Solve for x
    x = 1,386,817,127,424/791,040
  6. Step 6: Final answer
    x = 1,753,156.77

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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.