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Finding the Third Proportional to 640,874 and 966,223

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Solution

The third proportional to 640,874 and 966,223 is: 1,456,740.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,874 : 966,223 = 966,223 : x
  2. Step 2: Convert to fraction form
    640,874/966,223 = 966,223/x
  3. Step 3: Cross multiply
    640,874x = 966,223 × 966,223
  4. Step 4: Simplify right side
    640,874x = 933,586,885,729
  5. Step 5: Solve for x
    x = 933,586,885,729/640,874
  6. Step 6: Final answer
    x = 1,456,740.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.