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Finding the Third Proportional to 644,192 and 1,371,544

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Solution

The third proportional to 644,192 and 1,371,544 is: 2,920,143.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,192 : 1,371,544 = 1,371,544 : x
  2. Step 2: Convert to fraction form
    644,192/1,371,544 = 1,371,544/x
  3. Step 3: Cross multiply
    644,192x = 1,371,544 × 1,371,544
  4. Step 4: Simplify right side
    644,192x = 1,881,132,943,936
  5. Step 5: Solve for x
    x = 1,881,132,943,936/644,192
  6. Step 6: Final answer
    x = 2,920,143.29

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.