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Finding the Third Proportional to 1,948,518 and 2,914,857

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Solution

The third proportional to 1,948,518 and 2,914,857 is: 4,360,437.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948,518 : 2,914,857 = 2,914,857 : x
  2. Step 2: Convert to fraction form
    1,948,518/2,914,857 = 2,914,857/x
  3. Step 3: Cross multiply
    1,948,518x = 2,914,857 × 2,914,857
  4. Step 4: Simplify right side
    1,948,518x = 8,496,391,330,449
  5. Step 5: Solve for x
    x = 8,496,391,330,449/1,948,518
  6. Step 6: Final answer
    x = 4,360,437.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.