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Finding the Third Proportional to 632,841 and 1,385,883

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Solution

The third proportional to 632,841 and 1,385,883 is: 3,034,998.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,841 : 1,385,883 = 1,385,883 : x
  2. Step 2: Convert to fraction form
    632,841/1,385,883 = 1,385,883/x
  3. Step 3: Cross multiply
    632,841x = 1,385,883 × 1,385,883
  4. Step 4: Simplify right side
    632,841x = 1,920,671,689,689
  5. Step 5: Solve for x
    x = 1,920,671,689,689/632,841
  6. Step 6: Final answer
    x = 3,034,998.82

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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.