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Finding the Third Proportional to 431,957.81 and 942,652.69

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Solution

The third proportional to 431,957.81 and 942,652.69 is: 2,057,131.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,957.81 : 942,652.69 = 942,652.69 : x
  2. Step 2: Convert to fraction form
    431,957.81/942,652.69 = 942,652.69/x
  3. Step 3: Cross multiply
    431,957.81x = 942,652.69 × 942,652.69
  4. Step 4: Simplify right side
    431,957.81x = 888,594,089,250.97
  5. Step 5: Solve for x
    x = 888,594,089,250.97/431,957.81
  6. Step 6: Final answer
    x = 2,057,131.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.