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Finding the Third Proportional to 1,993,184 and 4,252,120

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Solution

The third proportional to 1,993,184 and 4,252,120 is: 9,071,176.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993,184 : 4,252,120 = 4,252,120 : x
  2. Step 2: Convert to fraction form
    1,993,184/4,252,120 = 4,252,120/x
  3. Step 3: Cross multiply
    1,993,184x = 4,252,120 × 4,252,120
  4. Step 4: Simplify right side
    1,993,184x = 18,080,524,494,400
  5. Step 5: Solve for x
    x = 18,080,524,494,400/1,993,184
  6. Step 6: Final answer
    x = 9,071,176.82

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.