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Finding the Third Proportional to 1,071,436 and 2,231,630

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Solution

The third proportional to 1,071,436 and 2,231,630 is: 4,648,128.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071,436 : 2,231,630 = 2,231,630 : x
  2. Step 2: Convert to fraction form
    1,071,436/2,231,630 = 2,231,630/x
  3. Step 3: Cross multiply
    1,071,436x = 2,231,630 × 2,231,630
  4. Step 4: Simplify right side
    1,071,436x = 4,980,172,456,900
  5. Step 5: Solve for x
    x = 4,980,172,456,900/1,071,436
  6. Step 6: Final answer
    x = 4,648,128.73

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.