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Finding the Third Proportional to 815,076 and 1,770,188

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Solution

The third proportional to 815,076 and 1,770,188 is: 3,844,507.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,076 : 1,770,188 = 1,770,188 : x
  2. Step 2: Convert to fraction form
    815,076/1,770,188 = 1,770,188/x
  3. Step 3: Cross multiply
    815,076x = 1,770,188 × 1,770,188
  4. Step 4: Simplify right side
    815,076x = 3,133,565,555,344
  5. Step 5: Solve for x
    x = 3,133,565,555,344/815,076
  6. Step 6: Final answer
    x = 3,844,507.21

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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.