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Finding the Third Proportional to 696,687 and 1,422,894

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Solution

The third proportional to 696,687 and 1,422,894 is: 2,906,078.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,687 : 1,422,894 = 1,422,894 : x
  2. Step 2: Convert to fraction form
    696,687/1,422,894 = 1,422,894/x
  3. Step 3: Cross multiply
    696,687x = 1,422,894 × 1,422,894
  4. Step 4: Simplify right side
    696,687x = 2,024,627,335,236
  5. Step 5: Solve for x
    x = 2,024,627,335,236/696,687
  6. Step 6: Final answer
    x = 2,906,078.82

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.