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Finding the Third Proportional to 722,482 and 1,587,974

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Solution

The third proportional to 722,482 and 1,587,974 is: 3,490,275.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,482 : 1,587,974 = 1,587,974 : x
  2. Step 2: Convert to fraction form
    722,482/1,587,974 = 1,587,974/x
  3. Step 3: Cross multiply
    722,482x = 1,587,974 × 1,587,974
  4. Step 4: Simplify right side
    722,482x = 2,521,661,424,676
  5. Step 5: Solve for x
    x = 2,521,661,424,676/722,482
  6. Step 6: Final answer
    x = 3,490,275.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.