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Finding the Third Proportional to 681,484 and 1,494,188

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Solution

The third proportional to 681,484 and 1,494,188 is: 3,276,082.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,484 : 1,494,188 = 1,494,188 : x
  2. Step 2: Convert to fraction form
    681,484/1,494,188 = 1,494,188/x
  3. Step 3: Cross multiply
    681,484x = 1,494,188 × 1,494,188
  4. Step 4: Simplify right side
    681,484x = 2,232,597,779,344
  5. Step 5: Solve for x
    x = 2,232,597,779,344/681,484
  6. Step 6: Final answer
    x = 3,276,082.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.