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Finding the Third Proportional to 723,764 and 1,546,920

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Solution

The third proportional to 723,764 and 1,546,920 is: 3,306,273.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,764 : 1,546,920 = 1,546,920 : x
  2. Step 2: Convert to fraction form
    723,764/1,546,920 = 1,546,920/x
  3. Step 3: Cross multiply
    723,764x = 1,546,920 × 1,546,920
  4. Step 4: Simplify right side
    723,764x = 2,392,961,486,400
  5. Step 5: Solve for x
    x = 2,392,961,486,400/723,764
  6. Step 6: Final answer
    x = 3,306,273.16

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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.