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Finding the Third Proportional to 4,659,406 and 7,231,319

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Solution

The third proportional to 4,659,406 and 7,231,319 is: 11,222,884.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,659,406 : 7,231,319 = 7,231,319 : x
  2. Step 2: Convert to fraction form
    4,659,406/7,231,319 = 7,231,319/x
  3. Step 3: Cross multiply
    4,659,406x = 7,231,319 × 7,231,319
  4. Step 4: Simplify right side
    4,659,406x = 52,291,974,479,761
  5. Step 5: Solve for x
    x = 52,291,974,479,761/4,659,406
  6. Step 6: Final answer
    x = 11,222,884.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.