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Finding the Third Proportional to 3,214,908 and 4,366,206

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Solution

The third proportional to 3,214,908 and 4,366,206 is: 5,929,797.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214,908 : 4,366,206 = 4,366,206 : x
  2. Step 2: Convert to fraction form
    3,214,908/4,366,206 = 4,366,206/x
  3. Step 3: Cross multiply
    3,214,908x = 4,366,206 × 4,366,206
  4. Step 4: Simplify right side
    3,214,908x = 19,063,754,834,436
  5. Step 5: Solve for x
    x = 19,063,754,834,436/3,214,908
  6. Step 6: Final answer
    x = 5,929,797.94

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.