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Finding the Third Proportional to 913,446 and 1,962,970

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Solution

The third proportional to 913,446 and 1,962,970 is: 4,218,367.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    913,446 : 1,962,970 = 1,962,970 : x
  2. Step 2: Convert to fraction form
    913,446/1,962,970 = 1,962,970/x
  3. Step 3: Cross multiply
    913,446x = 1,962,970 × 1,962,970
  4. Step 4: Simplify right side
    913,446x = 3,853,251,220,900
  5. Step 5: Solve for x
    x = 3,853,251,220,900/913,446
  6. Step 6: Final answer
    x = 4,218,367.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.