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Finding the Third Proportional to 3,248,287.31 and 4,541,168.81

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Solution

The third proportional to 3,248,287.31 and 4,541,168.81 is: 6,348,642.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,248,287.31 : 4,541,168.81 = 4,541,168.81 : x
  2. Step 2: Convert to fraction form
    3,248,287.31/4,541,168.81 = 4,541,168.81/x
  3. Step 3: Cross multiply
    3,248,287.31x = 4,541,168.81 × 4,541,168.81
  4. Step 4: Simplify right side
    3,248,287.31x = 20,622,214,183,622.66
  5. Step 5: Solve for x
    x = 20,622,214,183,622.66/3,248,287.31
  6. Step 6: Final answer
    x = 6,348,642.28

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.