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Finding the Third Proportional to 696,886 and 981,402

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Solution

The third proportional to 696,886 and 981,402 is: 1,382,076.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,886 : 981,402 = 981,402 : x
  2. Step 2: Convert to fraction form
    696,886/981,402 = 981,402/x
  3. Step 3: Cross multiply
    696,886x = 981,402 × 981,402
  4. Step 4: Simplify right side
    696,886x = 963,149,885,604
  5. Step 5: Solve for x
    x = 963,149,885,604/696,886
  6. Step 6: Final answer
    x = 1,382,076.67

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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.