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Finding the Third Proportional to 3,692,197.13 and 5,587,597.69

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Solution

The third proportional to 3,692,197.13 and 5,587,597.69 is: 8,456,007.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692,197.13 : 5,587,597.69 = 5,587,597.69 : x
  2. Step 2: Convert to fraction form
    3,692,197.13/5,587,597.69 = 5,587,597.69/x
  3. Step 3: Cross multiply
    3,692,197.13x = 5,587,597.69 × 5,587,597.69
  4. Step 4: Simplify right side
    3,692,197.13x = 31,221,247,917,355.35
  5. Step 5: Solve for x
    x = 31,221,247,917,355.35/3,692,197.13
  6. Step 6: Final answer
    x = 8,456,007.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.