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Finding the Third Proportional to 451,294 and 991,146

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Solution

The third proportional to 451,294 and 991,146 is: 2,176,785.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,294 : 991,146 = 991,146 : x
  2. Step 2: Convert to fraction form
    451,294/991,146 = 991,146/x
  3. Step 3: Cross multiply
    451,294x = 991,146 × 991,146
  4. Step 4: Simplify right side
    451,294x = 982,370,393,316
  5. Step 5: Solve for x
    x = 982,370,393,316/451,294
  6. Step 6: Final answer
    x = 2,176,785.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.