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Finding the Third Proportional to 1,002,724 and 2,188,376

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Solution

The third proportional to 1,002,724 and 2,188,376 is: 4,775,979.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002,724 : 2,188,376 = 2,188,376 : x
  2. Step 2: Convert to fraction form
    1,002,724/2,188,376 = 2,188,376/x
  3. Step 3: Cross multiply
    1,002,724x = 2,188,376 × 2,188,376
  4. Step 4: Simplify right side
    1,002,724x = 4,788,989,517,376
  5. Step 5: Solve for x
    x = 4,788,989,517,376/1,002,724
  6. Step 6: Final answer
    x = 4,775,979.75

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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.