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Finding the Third Proportional to 632,488 and 1,382,960

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Solution

The third proportional to 632,488 and 1,382,960 is: 3,023,896.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,488 : 1,382,960 = 1,382,960 : x
  2. Step 2: Convert to fraction form
    632,488/1,382,960 = 1,382,960/x
  3. Step 3: Cross multiply
    632,488x = 1,382,960 × 1,382,960
  4. Step 4: Simplify right side
    632,488x = 1,912,578,361,600
  5. Step 5: Solve for x
    x = 1,912,578,361,600/632,488
  6. Step 6: Final answer
    x = 3,023,896.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.