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Finding the Third Proportional to 560,870 and 1,216,876

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Solution

The third proportional to 560,870 and 1,216,876 is: 2,640,161.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,870 : 1,216,876 = 1,216,876 : x
  2. Step 2: Convert to fraction form
    560,870/1,216,876 = 1,216,876/x
  3. Step 3: Cross multiply
    560,870x = 1,216,876 × 1,216,876
  4. Step 4: Simplify right side
    560,870x = 1,480,787,199,376
  5. Step 5: Solve for x
    x = 1,480,787,199,376/560,870
  6. Step 6: Final answer
    x = 2,640,161.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.