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Finding the Third Proportional to 632,142 and 1,338,624

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Solution

The third proportional to 632,142 and 1,338,624 is: 2,834,670.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,142 : 1,338,624 = 1,338,624 : x
  2. Step 2: Convert to fraction form
    632,142/1,338,624 = 1,338,624/x
  3. Step 3: Cross multiply
    632,142x = 1,338,624 × 1,338,624
  4. Step 4: Simplify right side
    632,142x = 1,791,914,213,376
  5. Step 5: Solve for x
    x = 1,791,914,213,376/632,142
  6. Step 6: Final answer
    x = 2,834,670.40

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.