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Finding the Third Proportional to 861,199 and 2,011,511

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Solution

The third proportional to 861,199 and 2,011,511 is: 4,698,306.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    861,199 : 2,011,511 = 2,011,511 : x
  2. Step 2: Convert to fraction form
    861,199/2,011,511 = 2,011,511/x
  3. Step 3: Cross multiply
    861,199x = 2,011,511 × 2,011,511
  4. Step 4: Simplify right side
    861,199x = 4,046,176,503,121
  5. Step 5: Solve for x
    x = 4,046,176,503,121/861,199
  6. Step 6: Final answer
    x = 4,698,306.09

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.