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Finding the Third Proportional to 2,104,727 and 4,546,251

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Solution

The third proportional to 2,104,727 and 4,546,251 is: 9,819,990.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104,727 : 4,546,251 = 4,546,251 : x
  2. Step 2: Convert to fraction form
    2,104,727/4,546,251 = 4,546,251/x
  3. Step 3: Cross multiply
    2,104,727x = 4,546,251 × 4,546,251
  4. Step 4: Simplify right side
    2,104,727x = 20,668,398,155,001
  5. Step 5: Solve for x
    x = 20,668,398,155,001/2,104,727
  6. Step 6: Final answer
    x = 9,819,990.03

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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.