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Finding the Third Proportional to 2,139,569 and 2,914,104

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Solution

The third proportional to 2,139,569 and 2,914,104 is: 3,969,024.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139,569 : 2,914,104 = 2,914,104 : x
  2. Step 2: Convert to fraction form
    2,139,569/2,914,104 = 2,914,104/x
  3. Step 3: Cross multiply
    2,139,569x = 2,914,104 × 2,914,104
  4. Step 4: Simplify right side
    2,139,569x = 8,492,002,122,816
  5. Step 5: Solve for x
    x = 8,492,002,122,816/2,139,569
  6. Step 6: Final answer
    x = 3,969,024.66

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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.