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Finding the Third Proportional to 714,114 and 979,218

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Solution

The third proportional to 714,114 and 979,218 is: 1,342,737.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,114 : 979,218 = 979,218 : x
  2. Step 2: Convert to fraction form
    714,114/979,218 = 979,218/x
  3. Step 3: Cross multiply
    714,114x = 979,218 × 979,218
  4. Step 4: Simplify right side
    714,114x = 958,867,891,524
  5. Step 5: Solve for x
    x = 958,867,891,524/714,114
  6. Step 6: Final answer
    x = 1,342,737.84

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.