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Finding the Third Proportional to 468,751 and 970,732

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Solution

The third proportional to 468,751 and 970,732 is: 2,010,279.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,751 : 970,732 = 970,732 : x
  2. Step 2: Convert to fraction form
    468,751/970,732 = 970,732/x
  3. Step 3: Cross multiply
    468,751x = 970,732 × 970,732
  4. Step 4: Simplify right side
    468,751x = 942,320,615,824
  5. Step 5: Solve for x
    x = 942,320,615,824/468,751
  6. Step 6: Final answer
    x = 2,010,279.69

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.