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Finding the Third Proportional to 672,696 and 941,976

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Solution

The third proportional to 672,696 and 941,976 is: 1,319,048.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    672,696 : 941,976 = 941,976 : x
  2. Step 2: Convert to fraction form
    672,696/941,976 = 941,976/x
  3. Step 3: Cross multiply
    672,696x = 941,976 × 941,976
  4. Step 4: Simplify right side
    672,696x = 887,318,784,576
  5. Step 5: Solve for x
    x = 887,318,784,576/672,696
  6. Step 6: Final answer
    x = 1,319,048.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.