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Finding the Third Proportional to 1,006,724 and 2,212,384

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Solution

The third proportional to 1,006,724 and 2,212,384 is: 4,861,951.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006,724 : 2,212,384 = 2,212,384 : x
  2. Step 2: Convert to fraction form
    1,006,724/2,212,384 = 2,212,384/x
  3. Step 3: Cross multiply
    1,006,724x = 2,212,384 × 2,212,384
  4. Step 4: Simplify right side
    1,006,724x = 4,894,642,963,456
  5. Step 5: Solve for x
    x = 4,894,642,963,456/1,006,724
  6. Step 6: Final answer
    x = 4,861,951.20

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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.