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Finding the Third Proportional to 665,028 and 1,441,188

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Solution

The third proportional to 665,028 and 1,441,188 is: 3,123,211.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,028 : 1,441,188 = 1,441,188 : x
  2. Step 2: Convert to fraction form
    665,028/1,441,188 = 1,441,188/x
  3. Step 3: Cross multiply
    665,028x = 1,441,188 × 1,441,188
  4. Step 4: Simplify right side
    665,028x = 2,077,022,851,344
  5. Step 5: Solve for x
    x = 2,077,022,851,344/665,028
  6. Step 6: Final answer
    x = 3,123,211.13

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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.