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Finding the Third Proportional to 687,233 and 1,421,608

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Solution

The third proportional to 687,233 and 1,421,608 is: 2,940,733.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,233 : 1,421,608 = 1,421,608 : x
  2. Step 2: Convert to fraction form
    687,233/1,421,608 = 1,421,608/x
  3. Step 3: Cross multiply
    687,233x = 1,421,608 × 1,421,608
  4. Step 4: Simplify right side
    687,233x = 2,020,969,305,664
  5. Step 5: Solve for x
    x = 2,020,969,305,664/687,233
  6. Step 6: Final answer
    x = 2,940,733.79

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.