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Finding the Third Proportional to 758,392 and 1,659,632

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Solution

The third proportional to 758,392 and 1,659,632 is: 3,631,866.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,392 : 1,659,632 = 1,659,632 : x
  2. Step 2: Convert to fraction form
    758,392/1,659,632 = 1,659,632/x
  3. Step 3: Cross multiply
    758,392x = 1,659,632 × 1,659,632
  4. Step 4: Simplify right side
    758,392x = 2,754,378,375,424
  5. Step 5: Solve for x
    x = 2,754,378,375,424/758,392
  6. Step 6: Final answer
    x = 3,631,866.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.