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Finding the Third Proportional to 467,539 and 1,022,557

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Solution

The third proportional to 467,539 and 1,022,557 is: 2,236,439.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,539 : 1,022,557 = 1,022,557 : x
  2. Step 2: Convert to fraction form
    467,539/1,022,557 = 1,022,557/x
  3. Step 3: Cross multiply
    467,539x = 1,022,557 × 1,022,557
  4. Step 4: Simplify right side
    467,539x = 1,045,622,818,249
  5. Step 5: Solve for x
    x = 1,045,622,818,249/467,539
  6. Step 6: Final answer
    x = 2,236,439.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.