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Finding the Third Proportional to 632,550 and 1,361,814

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Solution

The third proportional to 632,550 and 1,361,814 is: 2,931,843.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,550 : 1,361,814 = 1,361,814 : x
  2. Step 2: Convert to fraction form
    632,550/1,361,814 = 1,361,814/x
  3. Step 3: Cross multiply
    632,550x = 1,361,814 × 1,361,814
  4. Step 4: Simplify right side
    632,550x = 1,854,537,370,596
  5. Step 5: Solve for x
    x = 1,854,537,370,596/632,550
  6. Step 6: Final answer
    x = 2,931,843.13

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Why These Related Problems?

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