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Finding the Third Proportional to 644,202 and 1,371,564

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Solution

The third proportional to 644,202 and 1,371,564 is: 2,920,183.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,202 : 1,371,564 = 1,371,564 : x
  2. Step 2: Convert to fraction form
    644,202/1,371,564 = 1,371,564/x
  3. Step 3: Cross multiply
    644,202x = 1,371,564 × 1,371,564
  4. Step 4: Simplify right side
    644,202x = 1,881,187,806,096
  5. Step 5: Solve for x
    x = 1,881,187,806,096/644,202
  6. Step 6: Final answer
    x = 2,920,183.12

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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.