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Finding the Third Proportional to 861,193 and 2,011,495.50

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Solution

The third proportional to 861,193 and 2,011,495.50 is: 4,698,266.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    861,193 : 2,011,495.50 = 2,011,495.50 : x
  2. Step 2: Convert to fraction form
    861,193/2,011,495.50 = 2,011,495.50/x
  3. Step 3: Cross multiply
    861,193x = 2,011,495.50 × 2,011,495.50
  4. Step 4: Simplify right side
    861,193x = 4,046,114,146,520.25
  5. Step 5: Solve for x
    x = 4,046,114,146,520.25/861,193
  6. Step 6: Final answer
    x = 4,698,266.41

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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.