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Finding the Third Proportional to 644,560 and 1,382,448

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Solution

The third proportional to 644,560 and 1,382,448 is: 2,965,065.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,560 : 1,382,448 = 1,382,448 : x
  2. Step 2: Convert to fraction form
    644,560/1,382,448 = 1,382,448/x
  3. Step 3: Cross multiply
    644,560x = 1,382,448 × 1,382,448
  4. Step 4: Simplify right side
    644,560x = 1,911,162,472,704
  5. Step 5: Solve for x
    x = 1,911,162,472,704/644,560
  6. Step 6: Final answer
    x = 2,965,065.27

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Why These Related Problems?

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