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Finding the Third Proportional to 737,304 and 1,605,720

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Solution

The third proportional to 737,304 and 1,605,720 is: 3,496,979.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,304 : 1,605,720 = 1,605,720 : x
  2. Step 2: Convert to fraction form
    737,304/1,605,720 = 1,605,720/x
  3. Step 3: Cross multiply
    737,304x = 1,605,720 × 1,605,720
  4. Step 4: Simplify right side
    737,304x = 2,578,336,718,400
  5. Step 5: Solve for x
    x = 2,578,336,718,400/737,304
  6. Step 6: Final answer
    x = 3,496,979.15

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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.