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Finding the Third Proportional to 714,118 and 979,224

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Solution

The third proportional to 714,118 and 979,224 is: 1,342,746.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,118 : 979,224 = 979,224 : x
  2. Step 2: Convert to fraction form
    714,118/979,224 = 979,224/x
  3. Step 3: Cross multiply
    714,118x = 979,224 × 979,224
  4. Step 4: Simplify right side
    714,118x = 958,879,642,176
  5. Step 5: Solve for x
    x = 958,879,642,176/714,118
  6. Step 6: Final answer
    x = 1,342,746.78

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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.