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Finding the Third Proportional to 752,998 and 1,615,183

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Solution

The third proportional to 752,998 and 1,615,183 is: 3,464,572.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,998 : 1,615,183 = 1,615,183 : x
  2. Step 2: Convert to fraction form
    752,998/1,615,183 = 1,615,183/x
  3. Step 3: Cross multiply
    752,998x = 1,615,183 × 1,615,183
  4. Step 4: Simplify right side
    752,998x = 2,608,816,123,489
  5. Step 5: Solve for x
    x = 2,608,816,123,489/752,998
  6. Step 6: Final answer
    x = 3,464,572.45

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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.