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Finding the Third Proportional to 1,960,293 and 4,158,510

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Solution

The third proportional to 1,960,293 and 4,158,510 is: 8,821,745.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,960,293 : 4,158,510 = 4,158,510 : x
  2. Step 2: Convert to fraction form
    1,960,293/4,158,510 = 4,158,510/x
  3. Step 3: Cross multiply
    1,960,293x = 4,158,510 × 4,158,510
  4. Step 4: Simplify right side
    1,960,293x = 17,293,205,420,100
  5. Step 5: Solve for x
    x = 17,293,205,420,100/1,960,293
  6. Step 6: Final answer
    x = 8,821,745.23

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.