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Finding the Third Proportional to 587,660 and 1,286,056

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Solution

The third proportional to 587,660 and 1,286,056 is: 2,814,450.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,660 : 1,286,056 = 1,286,056 : x
  2. Step 2: Convert to fraction form
    587,660/1,286,056 = 1,286,056/x
  3. Step 3: Cross multiply
    587,660x = 1,286,056 × 1,286,056
  4. Step 4: Simplify right side
    587,660x = 1,653,940,035,136
  5. Step 5: Solve for x
    x = 1,653,940,035,136/587,660
  6. Step 6: Final answer
    x = 2,814,450.59

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.