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Finding the Third Proportional to 451,424 and 970,816

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Solution

The third proportional to 451,424 and 970,816 is: 2,087,801.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,424 : 970,816 = 970,816 : x
  2. Step 2: Convert to fraction form
    451,424/970,816 = 970,816/x
  3. Step 3: Cross multiply
    451,424x = 970,816 × 970,816
  4. Step 4: Simplify right side
    451,424x = 942,483,705,856
  5. Step 5: Solve for x
    x = 942,483,705,856/451,424
  6. Step 6: Final answer
    x = 2,087,801.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.