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Finding the Third Proportional to 714,084 and 979,173

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Solution

The third proportional to 714,084 and 979,173 is: 1,342,670.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,084 : 979,173 = 979,173 : x
  2. Step 2: Convert to fraction form
    714,084/979,173 = 979,173/x
  3. Step 3: Cross multiply
    714,084x = 979,173 × 979,173
  4. Step 4: Simplify right side
    714,084x = 958,779,763,929
  5. Step 5: Solve for x
    x = 958,779,763,929/714,084
  6. Step 6: Final answer
    x = 1,342,670.84

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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.