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Finding the Third Proportional to 462,591 and 986,256

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Solution

The third proportional to 462,591 and 986,256 is: 2,102,723.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,591 : 986,256 = 986,256 : x
  2. Step 2: Convert to fraction form
    462,591/986,256 = 986,256/x
  3. Step 3: Cross multiply
    462,591x = 986,256 × 986,256
  4. Step 4: Simplify right side
    462,591x = 972,700,897,536
  5. Step 5: Solve for x
    x = 972,700,897,536/462,591
  6. Step 6: Final answer
    x = 2,102,723.35

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.