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Finding the Third Proportional to 3,876,601.50 and 5,702,946.75

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Solution

The third proportional to 3,876,601.50 and 5,702,946.75 is: 8,389,720.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876,601.50 : 5,702,946.75 = 5,702,946.75 : x
  2. Step 2: Convert to fraction form
    3,876,601.50/5,702,946.75 = 5,702,946.75/x
  3. Step 3: Cross multiply
    3,876,601.50x = 5,702,946.75 × 5,702,946.75
  4. Step 4: Simplify right side
    3,876,601.50x = 32,523,601,633,335.56
  5. Step 5: Solve for x
    x = 32,523,601,633,335.56/3,876,601.50
  6. Step 6: Final answer
    x = 8,389,720.13

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.