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Finding the Third Proportional to 945,351 and 1,418,715

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Solution

The third proportional to 945,351 and 1,418,715 is: 2,129,105.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,351 : 1,418,715 = 1,418,715 : x
  2. Step 2: Convert to fraction form
    945,351/1,418,715 = 1,418,715/x
  3. Step 3: Cross multiply
    945,351x = 1,418,715 × 1,418,715
  4. Step 4: Simplify right side
    945,351x = 2,012,752,251,225
  5. Step 5: Solve for x
    x = 2,012,752,251,225/945,351
  6. Step 6: Final answer
    x = 2,129,105.75

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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.