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Finding the Third Proportional to 963,419 and 2,074,825

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Solution

The third proportional to 963,419 and 2,074,825 is: 4,468,355.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    963,419 : 2,074,825 = 2,074,825 : x
  2. Step 2: Convert to fraction form
    963,419/2,074,825 = 2,074,825/x
  3. Step 3: Cross multiply
    963,419x = 2,074,825 × 2,074,825
  4. Step 4: Simplify right side
    963,419x = 4,304,898,780,625
  5. Step 5: Solve for x
    x = 4,304,898,780,625/963,419
  6. Step 6: Final answer
    x = 4,468,355.70

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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.