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Finding the Third Proportional to 2,428,218 and 5,245,438.50

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Solution

The third proportional to 2,428,218 and 5,245,438.50 is: 11,331,200.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428,218 : 5,245,438.50 = 5,245,438.50 : x
  2. Step 2: Convert to fraction form
    2,428,218/5,245,438.50 = 5,245,438.50/x
  3. Step 3: Cross multiply
    2,428,218x = 5,245,438.50 × 5,245,438.50
  4. Step 4: Simplify right side
    2,428,218x = 27,514,625,057,282.25
  5. Step 5: Solve for x
    x = 27,514,625,057,282.25/2,428,218
  6. Step 6: Final answer
    x = 11,331,200.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.