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Finding the Third Proportional to 1,002,356 and 1,448,238

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Solution

The third proportional to 1,002,356 and 1,448,238 is: 2,092,463.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002,356 : 1,448,238 = 1,448,238 : x
  2. Step 2: Convert to fraction form
    1,002,356/1,448,238 = 1,448,238/x
  3. Step 3: Cross multiply
    1,002,356x = 1,448,238 × 1,448,238
  4. Step 4: Simplify right side
    1,002,356x = 2,097,393,304,644
  5. Step 5: Solve for x
    x = 2,097,393,304,644/1,002,356
  6. Step 6: Final answer
    x = 2,092,463.46

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.