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Finding the Third Proportional to 486,977 and 1,067,358

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Solution

The third proportional to 486,977 and 1,067,358 is: 2,339,439.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,977 : 1,067,358 = 1,067,358 : x
  2. Step 2: Convert to fraction form
    486,977/1,067,358 = 1,067,358/x
  3. Step 3: Cross multiply
    486,977x = 1,067,358 × 1,067,358
  4. Step 4: Simplify right side
    486,977x = 1,139,253,100,164
  5. Step 5: Solve for x
    x = 1,139,253,100,164/486,977
  6. Step 6: Final answer
    x = 2,339,439.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.