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Finding the Third Proportional to 3,478,146.75 and 5,519,512.13

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Solution

The third proportional to 3,478,146.75 and 5,519,512.13 is: 8,758,978.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478,146.75 : 5,519,512.13 = 5,519,512.13 : x
  2. Step 2: Convert to fraction form
    3,478,146.75/5,519,512.13 = 5,519,512.13/x
  3. Step 3: Cross multiply
    3,478,146.75x = 5,519,512.13 × 5,519,512.13
  4. Step 4: Simplify right side
    3,478,146.75x = 30,465,014,098,022.02
  5. Step 5: Solve for x
    x = 30,465,014,098,022.02/3,478,146.75
  6. Step 6: Final answer
    x = 8,758,978.93

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.