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Finding the Third Proportional to 4,052,222 and 6,416,589

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Solution

The third proportional to 4,052,222 and 6,416,589 is: 10,160,503.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,052,222 : 6,416,589 = 6,416,589 : x
  2. Step 2: Convert to fraction form
    4,052,222/6,416,589 = 6,416,589/x
  3. Step 3: Cross multiply
    4,052,222x = 6,416,589 × 6,416,589
  4. Step 4: Simplify right side
    4,052,222x = 41,172,614,394,921
  5. Step 5: Solve for x
    x = 41,172,614,394,921/4,052,222
  6. Step 6: Final answer
    x = 10,160,503.15

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.