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Finding the Third Proportional to 733,924 and 1,607,720

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Solution

The third proportional to 733,924 and 1,607,720 is: 3,521,840.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,924 : 1,607,720 = 1,607,720 : x
  2. Step 2: Convert to fraction form
    733,924/1,607,720 = 1,607,720/x
  3. Step 3: Cross multiply
    733,924x = 1,607,720 × 1,607,720
  4. Step 4: Simplify right side
    733,924x = 2,584,763,598,400
  5. Step 5: Solve for x
    x = 2,584,763,598,400/733,924
  6. Step 6: Final answer
    x = 3,521,840.95

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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.