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Finding the Third Proportional to 1,651,184 and 2,524,080

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Solution

The third proportional to 1,651,184 and 2,524,080 is: 3,858,431.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,651,184 : 2,524,080 = 2,524,080 : x
  2. Step 2: Convert to fraction form
    1,651,184/2,524,080 = 2,524,080/x
  3. Step 3: Cross multiply
    1,651,184x = 2,524,080 × 2,524,080
  4. Step 4: Simplify right side
    1,651,184x = 6,370,979,846,400
  5. Step 5: Solve for x
    x = 6,370,979,846,400/1,651,184
  6. Step 6: Final answer
    x = 3,858,431.19

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.