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Finding the Third Proportional to 1,960,142.41 and 4,204,035.74

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Solution

The third proportional to 1,960,142.41 and 4,204,035.74 is: 9,016,649.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,960,142.41 : 4,204,035.74 = 4,204,035.74 : x
  2. Step 2: Convert to fraction form
    1,960,142.41/4,204,035.74 = 4,204,035.74/x
  3. Step 3: Cross multiply
    1,960,142.41x = 4,204,035.74 × 4,204,035.74
  4. Step 4: Simplify right side
    1,960,142.41x = 17,673,916,488,745.55
  5. Step 5: Solve for x
    x = 17,673,916,488,745.55/1,960,142.41
  6. Step 6: Final answer
    x = 9,016,649.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.