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Finding the Third Proportional to 2,169,540 and 4,719,624

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Solution

The third proportional to 2,169,540 and 4,719,624 is: 10,267,084.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169,540 : 4,719,624 = 4,719,624 : x
  2. Step 2: Convert to fraction form
    2,169,540/4,719,624 = 4,719,624/x
  3. Step 3: Cross multiply
    2,169,540x = 4,719,624 × 4,719,624
  4. Step 4: Simplify right side
    2,169,540x = 22,274,850,701,376
  5. Step 5: Solve for x
    x = 22,274,850,701,376/2,169,540
  6. Step 6: Final answer
    x = 10,267,084.59

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