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Finding the Third Proportional to 1,827,723 and 3,960,216

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Solution

The third proportional to 1,827,723 and 3,960,216 is: 8,580,791.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827,723 : 3,960,216 = 3,960,216 : x
  2. Step 2: Convert to fraction form
    1,827,723/3,960,216 = 3,960,216/x
  3. Step 3: Cross multiply
    1,827,723x = 3,960,216 × 3,960,216
  4. Step 4: Simplify right side
    1,827,723x = 15,683,310,766,656
  5. Step 5: Solve for x
    x = 15,683,310,766,656/1,827,723
  6. Step 6: Final answer
    x = 8,580,791.93

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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.