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Finding the Third Proportional to 560,876 and 1,216,386

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Solution

The third proportional to 560,876 and 1,216,386 is: 2,638,007.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,876 : 1,216,386 = 1,216,386 : x
  2. Step 2: Convert to fraction form
    560,876/1,216,386 = 1,216,386/x
  3. Step 3: Cross multiply
    560,876x = 1,216,386 × 1,216,386
  4. Step 4: Simplify right side
    560,876x = 1,479,594,900,996
  5. Step 5: Solve for x
    x = 1,479,594,900,996/560,876
  6. Step 6: Final answer
    x = 2,638,007.15

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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.