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Finding the Third Proportional to 644,571 and 1,404,688

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Solution

The third proportional to 644,571 and 1,404,688 is: 3,061,180.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,571 : 1,404,688 = 1,404,688 : x
  2. Step 2: Convert to fraction form
    644,571/1,404,688 = 1,404,688/x
  3. Step 3: Cross multiply
    644,571x = 1,404,688 × 1,404,688
  4. Step 4: Simplify right side
    644,571x = 1,973,148,377,344
  5. Step 5: Solve for x
    x = 1,973,148,377,344/644,571
  6. Step 6: Final answer
    x = 3,061,180.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.