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Finding the Third Proportional to 1,002,412 and 1,448,311

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Solution

The third proportional to 1,002,412 and 1,448,311 is: 2,092,557.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002,412 : 1,448,311 = 1,448,311 : x
  2. Step 2: Convert to fraction form
    1,002,412/1,448,311 = 1,448,311/x
  3. Step 3: Cross multiply
    1,002,412x = 1,448,311 × 1,448,311
  4. Step 4: Simplify right side
    1,002,412x = 2,097,604,752,721
  5. Step 5: Solve for x
    x = 2,097,604,752,721/1,002,412
  6. Step 6: Final answer
    x = 2,092,557.50

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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.