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Finding the Third Proportional to 457,071 and 992,766

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Solution

The third proportional to 457,071 and 992,766 is: 2,156,304.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,071 : 992,766 = 992,766 : x
  2. Step 2: Convert to fraction form
    457,071/992,766 = 992,766/x
  3. Step 3: Cross multiply
    457,071x = 992,766 × 992,766
  4. Step 4: Simplify right side
    457,071x = 985,584,330,756
  5. Step 5: Solve for x
    x = 985,584,330,756/457,071
  6. Step 6: Final answer
    x = 2,156,304.67

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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.