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Finding the Third Proportional to 1,829,166.75 and 2,717,217.56

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Solution

The third proportional to 1,829,166.75 and 2,717,217.56 is: 4,036,412.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829,166.75 : 2,717,217.56 = 2,717,217.56 : x
  2. Step 2: Convert to fraction form
    1,829,166.75/2,717,217.56 = 2,717,217.56/x
  3. Step 3: Cross multiply
    1,829,166.75x = 2,717,217.56 × 2,717,217.56
  4. Step 4: Simplify right side
    1,829,166.75x = 7,383,271,281,958.44
  5. Step 5: Solve for x
    x = 7,383,271,281,958.44/1,829,166.75
  6. Step 6: Final answer
    x = 4,036,412.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.