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Finding the Third Proportional to 861,205 and 2,011,525

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Solution

The third proportional to 861,205 and 2,011,525 is: 4,698,338.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    861,205 : 2,011,525 = 2,011,525 : x
  2. Step 2: Convert to fraction form
    861,205/2,011,525 = 2,011,525/x
  3. Step 3: Cross multiply
    861,205x = 2,011,525 × 2,011,525
  4. Step 4: Simplify right side
    861,205x = 4,046,232,825,625
  5. Step 5: Solve for x
    x = 4,046,232,825,625/861,205
  6. Step 6: Final answer
    x = 4,698,338.75

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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.