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Finding the Third Proportional to 1,686,788.63 and 3,673,074.75

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Solution

The third proportional to 1,686,788.63 and 3,673,074.75 is: 7,998,321.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686,788.63 : 3,673,074.75 = 3,673,074.75 : x
  2. Step 2: Convert to fraction form
    1,686,788.63/3,673,074.75 = 3,673,074.75/x
  3. Step 3: Cross multiply
    1,686,788.63x = 3,673,074.75 × 3,673,074.75
  4. Step 4: Simplify right side
    1,686,788.63x = 13,491,478,119,087.56
  5. Step 5: Solve for x
    x = 13,491,478,119,087.56/1,686,788.63
  6. Step 6: Final answer
    x = 7,998,321.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.