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Finding the Third Proportional to 2,091,586 and 4,434,314

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Solution

The third proportional to 2,091,586 and 4,434,314 is: 9,401,067.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091,586 : 4,434,314 = 4,434,314 : x
  2. Step 2: Convert to fraction form
    2,091,586/4,434,314 = 4,434,314/x
  3. Step 3: Cross multiply
    2,091,586x = 4,434,314 × 4,434,314
  4. Step 4: Simplify right side
    2,091,586x = 19,663,140,650,596
  5. Step 5: Solve for x
    x = 19,663,140,650,596/2,091,586
  6. Step 6: Final answer
    x = 9,401,067.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.