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Finding the Third Proportional to 1,462,222.13 and 3,320,853.19

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Solution

The third proportional to 1,462,222.13 and 3,320,853.19 is: 7,541,990.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462,222.13 : 3,320,853.19 = 3,320,853.19 : x
  2. Step 2: Convert to fraction form
    1,462,222.13/3,320,853.19 = 3,320,853.19/x
  3. Step 3: Cross multiply
    1,462,222.13x = 3,320,853.19 × 3,320,853.19
  4. Step 4: Simplify right side
    1,462,222.13x = 11,028,065,892,928.91
  5. Step 5: Solve for x
    x = 11,028,065,892,928.91/1,462,222.13
  6. Step 6: Final answer
    x = 7,541,990.85

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.