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Finding the Third Proportional to 2,166,559 and 4,694,702

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Solution

The third proportional to 2,166,559 and 4,694,702 is: 10,172,917.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166,559 : 4,694,702 = 4,694,702 : x
  2. Step 2: Convert to fraction form
    2,166,559/4,694,702 = 4,694,702/x
  3. Step 3: Cross multiply
    2,166,559x = 4,694,702 × 4,694,702
  4. Step 4: Simplify right side
    2,166,559x = 22,040,226,868,804
  5. Step 5: Solve for x
    x = 22,040,226,868,804/2,166,559
  6. Step 6: Final answer
    x = 10,172,917.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.