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Finding the Third Proportional to 714,078 and 979,164

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Solution

The third proportional to 714,078 and 979,164 is: 1,342,657.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,078 : 979,164 = 979,164 : x
  2. Step 2: Convert to fraction form
    714,078/979,164 = 979,164/x
  3. Step 3: Cross multiply
    714,078x = 979,164 × 979,164
  4. Step 4: Simplify right side
    714,078x = 958,762,138,896
  5. Step 5: Solve for x
    x = 958,762,138,896/714,078
  6. Step 6: Final answer
    x = 1,342,657.44

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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.