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Finding the Third Proportional to 1,653,427.69 and 3,373,282.97

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Solution

The third proportional to 1,653,427.69 and 3,373,282.97 is: 6,882,089.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653,427.69 : 3,373,282.97 = 3,373,282.97 : x
  2. Step 2: Convert to fraction form
    1,653,427.69/3,373,282.97 = 3,373,282.97/x
  3. Step 3: Cross multiply
    1,653,427.69x = 3,373,282.97 × 3,373,282.97
  4. Step 4: Simplify right side
    1,653,427.69x = 11,379,037,987,258.81
  5. Step 5: Solve for x
    x = 11,379,037,987,258.81/1,653,427.69
  6. Step 6: Final answer
    x = 6,882,089.90

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.