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Finding the Third Proportional to 966,614 and 2,274,263

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Solution

The third proportional to 966,614 and 2,274,263 is: 5,350,917.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,614 : 2,274,263 = 2,274,263 : x
  2. Step 2: Convert to fraction form
    966,614/2,274,263 = 2,274,263/x
  3. Step 3: Cross multiply
    966,614x = 2,274,263 × 2,274,263
  4. Step 4: Simplify right side
    966,614x = 5,172,272,193,169
  5. Step 5: Solve for x
    x = 5,172,272,193,169/966,614
  6. Step 6: Final answer
    x = 5,350,917.94

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.