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Finding the Third Proportional to 2,231,718 and 4,834,254

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Solution

The third proportional to 2,231,718 and 4,834,254 is: 10,471,758.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231,718 : 4,834,254 = 4,834,254 : x
  2. Step 2: Convert to fraction form
    2,231,718/4,834,254 = 4,834,254/x
  3. Step 3: Cross multiply
    2,231,718x = 4,834,254 × 4,834,254
  4. Step 4: Simplify right side
    2,231,718x = 23,370,011,736,516
  5. Step 5: Solve for x
    x = 23,370,011,736,516/2,231,718
  6. Step 6: Final answer
    x = 10,471,758.41

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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.