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Finding the Third Proportional to 723,498 and 1,546,654

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Solution

The third proportional to 723,498 and 1,546,654 is: 3,306,351.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,498 : 1,546,654 = 1,546,654 : x
  2. Step 2: Convert to fraction form
    723,498/1,546,654 = 1,546,654/x
  3. Step 3: Cross multiply
    723,498x = 1,546,654 × 1,546,654
  4. Step 4: Simplify right side
    723,498x = 2,392,138,595,716
  5. Step 5: Solve for x
    x = 2,392,138,595,716/723,498
  6. Step 6: Final answer
    x = 3,306,351.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.