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Finding the Third Proportional to 1,442,049 and 3,338,245.50

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Solution

The third proportional to 1,442,049 and 3,338,245.50 is: 7,727,811.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442,049 : 3,338,245.50 = 3,338,245.50 : x
  2. Step 2: Convert to fraction form
    1,442,049/3,338,245.50 = 3,338,245.50/x
  3. Step 3: Cross multiply
    1,442,049x = 3,338,245.50 × 3,338,245.50
  4. Step 4: Simplify right side
    1,442,049x = 11,143,883,018,270.25
  5. Step 5: Solve for x
    x = 11,143,883,018,270.25/1,442,049
  6. Step 6: Final answer
    x = 7,727,811.62

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.