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Finding the Third Proportional to 644,500 and 1,382,344

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Solution

The third proportional to 644,500 and 1,382,344 is: 2,964,895.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,500 : 1,382,344 = 1,382,344 : x
  2. Step 2: Convert to fraction form
    644,500/1,382,344 = 1,382,344/x
  3. Step 3: Cross multiply
    644,500x = 1,382,344 × 1,382,344
  4. Step 4: Simplify right side
    644,500x = 1,910,874,934,336
  5. Step 5: Solve for x
    x = 1,910,874,934,336/644,500
  6. Step 6: Final answer
    x = 2,964,895.17

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