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Finding the Third Proportional to 1,668,031 and 3,641,922

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Solution

The third proportional to 1,668,031 and 3,641,922 is: 7,951,648.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,668,031 : 3,641,922 = 3,641,922 : x
  2. Step 2: Convert to fraction form
    1,668,031/3,641,922 = 3,641,922/x
  3. Step 3: Cross multiply
    1,668,031x = 3,641,922 × 3,641,922
  4. Step 4: Simplify right side
    1,668,031x = 13,263,595,854,084
  5. Step 5: Solve for x
    x = 13,263,595,854,084/1,668,031
  6. Step 6: Final answer
    x = 7,951,648.29

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