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Finding the Third Proportional to 802,448 and 1,246,521

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Solution

The third proportional to 802,448 and 1,246,521 is: 1,936,343.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,448 : 1,246,521 = 1,246,521 : x
  2. Step 2: Convert to fraction form
    802,448/1,246,521 = 1,246,521/x
  3. Step 3: Cross multiply
    802,448x = 1,246,521 × 1,246,521
  4. Step 4: Simplify right side
    802,448x = 1,553,814,603,441
  5. Step 5: Solve for x
    x = 1,553,814,603,441/802,448
  6. Step 6: Final answer
    x = 1,936,343.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.