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Finding the Third Proportional to 685,538 and 1,482,052

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Solution

The third proportional to 685,538 and 1,482,052 is: 3,204,020.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,538 : 1,482,052 = 1,482,052 : x
  2. Step 2: Convert to fraction form
    685,538/1,482,052 = 1,482,052/x
  3. Step 3: Cross multiply
    685,538x = 1,482,052 × 1,482,052
  4. Step 4: Simplify right side
    685,538x = 2,196,478,130,704
  5. Step 5: Solve for x
    x = 2,196,478,130,704/685,538
  6. Step 6: Final answer
    x = 3,204,020.97

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Why These Related Problems?

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