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Finding the Third Proportional to 714,116 and 979,221

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Solution

The third proportional to 714,116 and 979,221 is: 1,342,742.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,116 : 979,221 = 979,221 : x
  2. Step 2: Convert to fraction form
    714,116/979,221 = 979,221/x
  3. Step 3: Cross multiply
    714,116x = 979,221 × 979,221
  4. Step 4: Simplify right side
    714,116x = 958,873,766,841
  5. Step 5: Solve for x
    x = 958,873,766,841/714,116
  6. Step 6: Final answer
    x = 1,342,742.31

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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.