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Finding the Third Proportional to 1,531,474 and 2,252,983

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Solution

The third proportional to 1,531,474 and 2,252,983 is: 3,314,409.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531,474 : 2,252,983 = 2,252,983 : x
  2. Step 2: Convert to fraction form
    1,531,474/2,252,983 = 2,252,983/x
  3. Step 3: Cross multiply
    1,531,474x = 2,252,983 × 2,252,983
  4. Step 4: Simplify right side
    1,531,474x = 5,075,932,398,289
  5. Step 5: Solve for x
    x = 5,075,932,398,289/1,531,474
  6. Step 6: Final answer
    x = 3,314,409.78

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.