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Finding the Third Proportional to 696,826.13 and 981,288

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Solution

The third proportional to 696,826.13 and 981,288 is: 1,381,874.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,826.13 : 981,288 = 981,288 : x
  2. Step 2: Convert to fraction form
    696,826.13/981,288 = 981,288/x
  3. Step 3: Cross multiply
    696,826.13x = 981,288 × 981,288
  4. Step 4: Simplify right side
    696,826.13x = 962,926,138,944
  5. Step 5: Solve for x
    x = 962,926,138,944/696,826.13
  6. Step 6: Final answer
    x = 1,381,874.34

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.