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Finding the Third Proportional to 531,974 and 1,182,028

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Solution

The third proportional to 531,974 and 1,182,028 is: 2,626,425.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,974 : 1,182,028 = 1,182,028 : x
  2. Step 2: Convert to fraction form
    531,974/1,182,028 = 1,182,028/x
  3. Step 3: Cross multiply
    531,974x = 1,182,028 × 1,182,028
  4. Step 4: Simplify right side
    531,974x = 1,397,190,192,784
  5. Step 5: Solve for x
    x = 1,397,190,192,784/531,974
  6. Step 6: Final answer
    x = 2,626,425.71

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.