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Finding the Third Proportional to 1,182,438 and 2,542,023

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Solution

The third proportional to 1,182,438 and 2,542,023 is: 5,464,879.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182,438 : 2,542,023 = 2,542,023 : x
  2. Step 2: Convert to fraction form
    1,182,438/2,542,023 = 2,542,023/x
  3. Step 3: Cross multiply
    1,182,438x = 2,542,023 × 2,542,023
  4. Step 4: Simplify right side
    1,182,438x = 6,461,880,932,529
  5. Step 5: Solve for x
    x = 6,461,880,932,529/1,182,438
  6. Step 6: Final answer
    x = 5,464,879.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.