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Finding the Third Proportional to 723,766 and 1,546,923

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Solution

The third proportional to 723,766 and 1,546,923 is: 3,306,276.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,766 : 1,546,923 = 1,546,923 : x
  2. Step 2: Convert to fraction form
    723,766/1,546,923 = 1,546,923/x
  3. Step 3: Cross multiply
    723,766x = 1,546,923 × 1,546,923
  4. Step 4: Simplify right side
    723,766x = 2,392,970,767,929
  5. Step 5: Solve for x
    x = 2,392,970,767,929/723,766
  6. Step 6: Final answer
    x = 3,306,276.85

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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.