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Finding the Third Proportional to 3,934,959.75 and 5,789,917.13

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Solution

The third proportional to 3,934,959.75 and 5,789,917.13 is: 8,519,309.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,934,959.75 : 5,789,917.13 = 5,789,917.13 : x
  2. Step 2: Convert to fraction form
    3,934,959.75/5,789,917.13 = 5,789,917.13/x
  3. Step 3: Cross multiply
    3,934,959.75x = 5,789,917.13 × 5,789,917.13
  4. Step 4: Simplify right side
    3,934,959.75x = 33,523,140,314,368.27
  5. Step 5: Solve for x
    x = 33,523,140,314,368.27/3,934,959.75
  6. Step 6: Final answer
    x = 8,519,309.58

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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.