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Finding the Third Proportional to 685,536 and 1,482,048

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Solution

The third proportional to 685,536 and 1,482,048 is: 3,204,013.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,536 : 1,482,048 = 1,482,048 : x
  2. Step 2: Convert to fraction form
    685,536/1,482,048 = 1,482,048/x
  3. Step 3: Cross multiply
    685,536x = 1,482,048 × 1,482,048
  4. Step 4: Simplify right side
    685,536x = 2,196,466,274,304
  5. Step 5: Solve for x
    x = 2,196,466,274,304/685,536
  6. Step 6: Final answer
    x = 3,204,013.03

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.