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Finding the Third Proportional to 794,724 and 1,188,963

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Solution

The third proportional to 794,724 and 1,188,963 is: 1,778,772.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    794,724 : 1,188,963 = 1,188,963 : x
  2. Step 2: Convert to fraction form
    794,724/1,188,963 = 1,188,963/x
  3. Step 3: Cross multiply
    794,724x = 1,188,963 × 1,188,963
  4. Step 4: Simplify right side
    794,724x = 1,413,633,015,369
  5. Step 5: Solve for x
    x = 1,413,633,015,369/794,724
  6. Step 6: Final answer
    x = 1,778,772.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.