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Finding the Third Proportional to 2,682,250 and 5,748,014

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Solution

The third proportional to 2,682,250 and 5,748,014 is: 12,317,891.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682,250 : 5,748,014 = 5,748,014 : x
  2. Step 2: Convert to fraction form
    2,682,250/5,748,014 = 5,748,014/x
  3. Step 3: Cross multiply
    2,682,250x = 5,748,014 × 5,748,014
  4. Step 4: Simplify right side
    2,682,250x = 33,039,664,944,196
  5. Step 5: Solve for x
    x = 33,039,664,944,196/2,682,250
  6. Step 6: Final answer
    x = 12,317,891.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.