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Finding the Third Proportional to 737,586 and 1,608,648

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Solution

The third proportional to 737,586 and 1,608,648 is: 3,508,402.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,586 : 1,608,648 = 1,608,648 : x
  2. Step 2: Convert to fraction form
    737,586/1,608,648 = 1,608,648/x
  3. Step 3: Cross multiply
    737,586x = 1,608,648 × 1,608,648
  4. Step 4: Simplify right side
    737,586x = 2,587,748,387,904
  5. Step 5: Solve for x
    x = 2,587,748,387,904/737,586
  6. Step 6: Final answer
    x = 3,508,402.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.