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Finding the Third Proportional to 644,338 and 1,381,988

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Solution

The third proportional to 644,338 and 1,381,988 is: 2,964,113.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,338 : 1,381,988 = 1,381,988 : x
  2. Step 2: Convert to fraction form
    644,338/1,381,988 = 1,381,988/x
  3. Step 3: Cross multiply
    644,338x = 1,381,988 × 1,381,988
  4. Step 4: Simplify right side
    644,338x = 1,909,890,832,144
  5. Step 5: Solve for x
    x = 1,909,890,832,144/644,338
  6. Step 6: Final answer
    x = 2,964,113.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.