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Finding the Third Proportional to 632,448 and 1,381,632

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Solution

The third proportional to 632,448 and 1,381,632 is: 3,018,282.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,448 : 1,381,632 = 1,381,632 : x
  2. Step 2: Convert to fraction form
    632,448/1,381,632 = 1,381,632/x
  3. Step 3: Cross multiply
    632,448x = 1,381,632 × 1,381,632
  4. Step 4: Simplify right side
    632,448x = 1,908,906,983,424
  5. Step 5: Solve for x
    x = 1,908,906,983,424/632,448
  6. Step 6: Final answer
    x = 3,018,282.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.