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Finding the Third Proportional to 2,981,665 and 6,435,434

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Solution

The third proportional to 2,981,665 and 6,435,434 is: 13,889,826.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,981,665 : 6,435,434 = 6,435,434 : x
  2. Step 2: Convert to fraction form
    2,981,665/6,435,434 = 6,435,434/x
  3. Step 3: Cross multiply
    2,981,665x = 6,435,434 × 6,435,434
  4. Step 4: Simplify right side
    2,981,665x = 41,414,810,768,356
  5. Step 5: Solve for x
    x = 41,414,810,768,356/2,981,665
  6. Step 6: Final answer
    x = 13,889,826.91

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.