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Finding the Third Proportional to 1,012,573 and 1,424,311

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Solution

The third proportional to 1,012,573 and 1,424,311 is: 2,003,472.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012,573 : 1,424,311 = 1,424,311 : x
  2. Step 2: Convert to fraction form
    1,012,573/1,424,311 = 1,424,311/x
  3. Step 3: Cross multiply
    1,012,573x = 1,424,311 × 1,424,311
  4. Step 4: Simplify right side
    1,012,573x = 2,028,661,824,721
  5. Step 5: Solve for x
    x = 2,028,661,824,721/1,012,573
  6. Step 6: Final answer
    x = 2,003,472.17

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.