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Finding the Third Proportional to 2,231,714 and 4,834,246

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Solution

The third proportional to 2,231,714 and 4,834,246 is: 10,471,742.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231,714 : 4,834,246 = 4,834,246 : x
  2. Step 2: Convert to fraction form
    2,231,714/4,834,246 = 4,834,246/x
  3. Step 3: Cross multiply
    2,231,714x = 4,834,246 × 4,834,246
  4. Step 4: Simplify right side
    2,231,714x = 23,369,934,388,516
  5. Step 5: Solve for x
    x = 23,369,934,388,516/2,231,714
  6. Step 6: Final answer
    x = 10,471,742.52

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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.