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Finding the Third Proportional to 2,309,434 and 3,584,651

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Solution

The third proportional to 2,309,434 and 3,584,651 is: 5,564,013.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309,434 : 3,584,651 = 3,584,651 : x
  2. Step 2: Convert to fraction form
    2,309,434/3,584,651 = 3,584,651/x
  3. Step 3: Cross multiply
    2,309,434x = 3,584,651 × 3,584,651
  4. Step 4: Simplify right side
    2,309,434x = 12,849,722,791,801
  5. Step 5: Solve for x
    x = 12,849,722,791,801/2,309,434
  6. Step 6: Final answer
    x = 5,564,013.86

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.