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Finding the Third Proportional to 697,694 and 946,872

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Solution

The third proportional to 697,694 and 946,872 is: 1,285,042.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,694 : 946,872 = 946,872 : x
  2. Step 2: Convert to fraction form
    697,694/946,872 = 946,872/x
  3. Step 3: Cross multiply
    697,694x = 946,872 × 946,872
  4. Step 4: Simplify right side
    697,694x = 896,566,584,384
  5. Step 5: Solve for x
    x = 896,566,584,384/697,694
  6. Step 6: Final answer
    x = 1,285,042.70

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.