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Finding the Third Proportional to 694,177 and 1,048,663

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Solution

The third proportional to 694,177 and 1,048,663 is: 1,584,169.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,177 : 1,048,663 = 1,048,663 : x
  2. Step 2: Convert to fraction form
    694,177/1,048,663 = 1,048,663/x
  3. Step 3: Cross multiply
    694,177x = 1,048,663 × 1,048,663
  4. Step 4: Simplify right side
    694,177x = 1,099,694,087,569
  5. Step 5: Solve for x
    x = 1,099,694,087,569/694,177
  6. Step 6: Final answer
    x = 1,584,169.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.