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Finding the Third Proportional to 737,536 and 1,608,560

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Solution

The third proportional to 737,536 and 1,608,560 is: 3,508,256.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,536 : 1,608,560 = 1,608,560 : x
  2. Step 2: Convert to fraction form
    737,536/1,608,560 = 1,608,560/x
  3. Step 3: Cross multiply
    737,536x = 1,608,560 × 1,608,560
  4. Step 4: Simplify right side
    737,536x = 2,587,465,273,600
  5. Step 5: Solve for x
    x = 2,587,465,273,600/737,536
  6. Step 6: Final answer
    x = 3,508,256.24

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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.