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Finding the Third Proportional to 659,258 and 1,417,876

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Solution

The third proportional to 659,258 and 1,417,876 is: 3,049,447.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,258 : 1,417,876 = 1,417,876 : x
  2. Step 2: Convert to fraction form
    659,258/1,417,876 = 1,417,876/x
  3. Step 3: Cross multiply
    659,258x = 1,417,876 × 1,417,876
  4. Step 4: Simplify right side
    659,258x = 2,010,372,351,376
  5. Step 5: Solve for x
    x = 2,010,372,351,376/659,258
  6. Step 6: Final answer
    x = 3,049,447.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.