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Finding the Third Proportional to 2,090,538 and 4,432,277.25

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Solution

The third proportional to 2,090,538 and 4,432,277.25 is: 9,397,141.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090,538 : 4,432,277.25 = 4,432,277.25 : x
  2. Step 2: Convert to fraction form
    2,090,538/4,432,277.25 = 4,432,277.25/x
  3. Step 3: Cross multiply
    2,090,538x = 4,432,277.25 × 4,432,277.25
  4. Step 4: Simplify right side
    2,090,538x = 19,645,081,620,867.56
  5. Step 5: Solve for x
    x = 19,645,081,620,867.56/2,090,538
  6. Step 6: Final answer
    x = 9,397,141.61

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.