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Finding the Third Proportional to 697,216 and 981,786

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Solution

The third proportional to 697,216 and 981,786 is: 1,382,503.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,216 : 981,786 = 981,786 : x
  2. Step 2: Convert to fraction form
    697,216/981,786 = 981,786/x
  3. Step 3: Cross multiply
    697,216x = 981,786 × 981,786
  4. Step 4: Simplify right side
    697,216x = 963,903,749,796
  5. Step 5: Solve for x
    x = 963,903,749,796/697,216
  6. Step 6: Final answer
    x = 1,382,503.77

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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.