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Finding the Third Proportional to 685,520 and 1,485,452

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Solution

The third proportional to 685,520 and 1,485,452 is: 3,218,823.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,520 : 1,485,452 = 1,485,452 : x
  2. Step 2: Convert to fraction form
    685,520/1,485,452 = 1,485,452/x
  3. Step 3: Cross multiply
    685,520x = 1,485,452 × 1,485,452
  4. Step 4: Simplify right side
    685,520x = 2,206,567,644,304
  5. Step 5: Solve for x
    x = 2,206,567,644,304/685,520
  6. Step 6: Final answer
    x = 3,218,823.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.