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Finding the Third Proportional to 644,734 and 1,384,612

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Solution

The third proportional to 644,734 and 1,384,612 is: 2,973,552.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,734 : 1,384,612 = 1,384,612 : x
  2. Step 2: Convert to fraction form
    644,734/1,384,612 = 1,384,612/x
  3. Step 3: Cross multiply
    644,734x = 1,384,612 × 1,384,612
  4. Step 4: Simplify right side
    644,734x = 1,917,150,390,544
  5. Step 5: Solve for x
    x = 1,917,150,390,544/644,734
  6. Step 6: Final answer
    x = 2,973,552.49

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.