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Finding the Third Proportional to 646,488 and 1,375,920

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Solution

The third proportional to 646,488 and 1,375,920 is: 2,928,369.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,488 : 1,375,920 = 1,375,920 : x
  2. Step 2: Convert to fraction form
    646,488/1,375,920 = 1,375,920/x
  3. Step 3: Cross multiply
    646,488x = 1,375,920 × 1,375,920
  4. Step 4: Simplify right side
    646,488x = 1,893,155,846,400
  5. Step 5: Solve for x
    x = 1,893,155,846,400/646,488
  6. Step 6: Final answer
    x = 2,928,369.66

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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.