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Finding the Third Proportional to 961,524 and 2,051,742

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Solution

The third proportional to 961,524 and 2,051,742 is: 4,378,096.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    961,524 : 2,051,742 = 2,051,742 : x
  2. Step 2: Convert to fraction form
    961,524/2,051,742 = 2,051,742/x
  3. Step 3: Cross multiply
    961,524x = 2,051,742 × 2,051,742
  4. Step 4: Simplify right side
    961,524x = 4,209,645,234,564
  5. Step 5: Solve for x
    x = 4,209,645,234,564/961,524
  6. Step 6: Final answer
    x = 4,378,096.89

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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.