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Finding the Third Proportional to 968,851.97 and 2,262,956.06

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Solution

The third proportional to 968,851.97 and 2,262,956.06 is: 5,285,606.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    968,851.97 : 2,262,956.06 = 2,262,956.06 : x
  2. Step 2: Convert to fraction form
    968,851.97/2,262,956.06 = 2,262,956.06/x
  3. Step 3: Cross multiply
    968,851.97x = 2,262,956.06 × 2,262,956.06
  4. Step 4: Simplify right side
    968,851.97x = 5,120,970,140,805.50
  5. Step 5: Solve for x
    x = 5,120,970,140,805.50/968,851.97
  6. Step 6: Final answer
    x = 5,285,606.37

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.