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Finding the Third Proportional to 431,498 and 945,940

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Solution

The third proportional to 431,498 and 945,940 is: 2,073,711.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,498 : 945,940 = 945,940 : x
  2. Step 2: Convert to fraction form
    431,498/945,940 = 945,940/x
  3. Step 3: Cross multiply
    431,498x = 945,940 × 945,940
  4. Step 4: Simplify right side
    431,498x = 894,802,483,600
  5. Step 5: Solve for x
    x = 894,802,483,600/431,498
  6. Step 6: Final answer
    x = 2,073,711.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.