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Finding the Third Proportional to 711,342 and 1,264,791

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Solution

The third proportional to 711,342 and 1,264,791 is: 2,248,842.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,342 : 1,264,791 = 1,264,791 : x
  2. Step 2: Convert to fraction form
    711,342/1,264,791 = 1,264,791/x
  3. Step 3: Cross multiply
    711,342x = 1,264,791 × 1,264,791
  4. Step 4: Simplify right side
    711,342x = 1,599,696,273,681
  5. Step 5: Solve for x
    x = 1,599,696,273,681/711,342
  6. Step 6: Final answer
    x = 2,248,842.71

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.