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Finding the Third Proportional to 632,546 and 1,361,806

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Solution

The third proportional to 632,546 and 1,361,806 is: 2,931,827.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,546 : 1,361,806 = 1,361,806 : x
  2. Step 2: Convert to fraction form
    632,546/1,361,806 = 1,361,806/x
  3. Step 3: Cross multiply
    632,546x = 1,361,806 × 1,361,806
  4. Step 4: Simplify right side
    632,546x = 1,854,515,581,636
  5. Step 5: Solve for x
    x = 1,854,515,581,636/632,546
  6. Step 6: Final answer
    x = 2,931,827.22

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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.