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Finding the Third Proportional to 768,204 and 1,650,132

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Solution

The third proportional to 768,204 and 1,650,132 is: 3,544,547.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,204 : 1,650,132 = 1,650,132 : x
  2. Step 2: Convert to fraction form
    768,204/1,650,132 = 1,650,132/x
  3. Step 3: Cross multiply
    768,204x = 1,650,132 × 1,650,132
  4. Step 4: Simplify right side
    768,204x = 2,722,935,617,424
  5. Step 5: Solve for x
    x = 2,722,935,617,424/768,204
  6. Step 6: Final answer
    x = 3,544,547.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.