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Finding the Third Proportional to 471,640 and 970,928

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Solution

The third proportional to 471,640 and 970,928 is: 1,998,772.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,640 : 970,928 = 970,928 : x
  2. Step 2: Convert to fraction form
    471,640/970,928 = 970,928/x
  3. Step 3: Cross multiply
    471,640x = 970,928 × 970,928
  4. Step 4: Simplify right side
    471,640x = 942,701,181,184
  5. Step 5: Solve for x
    x = 942,701,181,184/471,640
  6. Step 6: Final answer
    x = 1,998,772.75

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.