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Finding the Third Proportional to 632,546.37 and 1,377,404.23

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Solution

The third proportional to 632,546.37 and 1,377,404.23 is: 2,999,372.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,546.37 : 1,377,404.23 = 1,377,404.23 : x
  2. Step 2: Convert to fraction form
    632,546.37/1,377,404.23 = 1,377,404.23/x
  3. Step 3: Cross multiply
    632,546.37x = 1,377,404.23 × 1,377,404.23
  4. Step 4: Simplify right side
    632,546.37x = 1,897,242,403,352.24
  5. Step 5: Solve for x
    x = 1,897,242,403,352.24/632,546.37
  6. Step 6: Final answer
    x = 2,999,372.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.