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Finding the Third Proportional to 1,375,188.64 and 2,986,825.57

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Solution

The third proportional to 1,375,188.64 and 2,986,825.57 is: 6,487,202.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375,188.64 : 2,986,825.57 = 2,986,825.57 : x
  2. Step 2: Convert to fraction form
    1,375,188.64/2,986,825.57 = 2,986,825.57/x
  3. Step 3: Cross multiply
    1,375,188.64x = 2,986,825.57 × 2,986,825.57
  4. Step 4: Simplify right side
    1,375,188.64x = 8,921,126,994,036.44
  5. Step 5: Solve for x
    x = 8,921,126,994,036.44/1,375,188.64
  6. Step 6: Final answer
    x = 6,487,202.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.