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Finding the Third Proportional to 1,617,238 and 2,427,041.25

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Solution

The third proportional to 1,617,238 and 2,427,041.25 is: 3,642,339.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617,238 : 2,427,041.25 = 2,427,041.25 : x
  2. Step 2: Convert to fraction form
    1,617,238/2,427,041.25 = 2,427,041.25/x
  3. Step 3: Cross multiply
    1,617,238x = 2,427,041.25 × 2,427,041.25
  4. Step 4: Simplify right side
    1,617,238x = 5,890,529,229,201.56
  5. Step 5: Solve for x
    x = 5,890,529,229,201.56/1,617,238
  6. Step 6: Final answer
    x = 3,642,339.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.