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Finding the Third Proportional to 3,649,120 and 5,597,320

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Solution

The third proportional to 3,649,120 and 5,597,320 is: 8,585,629.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,649,120 : 5,597,320 = 5,597,320 : x
  2. Step 2: Convert to fraction form
    3,649,120/5,597,320 = 5,597,320/x
  3. Step 3: Cross multiply
    3,649,120x = 5,597,320 × 5,597,320
  4. Step 4: Simplify right side
    3,649,120x = 31,329,991,182,400
  5. Step 5: Solve for x
    x = 31,329,991,182,400/3,649,120
  6. Step 6: Final answer
    x = 8,585,629.19

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.