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Finding the Third Proportional to 1,682,394 and 3,648,738

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Solution

The third proportional to 1,682,394 and 3,648,738 is: 7,913,300.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682,394 : 3,648,738 = 3,648,738 : x
  2. Step 2: Convert to fraction form
    1,682,394/3,648,738 = 3,648,738/x
  3. Step 3: Cross multiply
    1,682,394x = 3,648,738 × 3,648,738
  4. Step 4: Simplify right side
    1,682,394x = 13,313,288,992,644
  5. Step 5: Solve for x
    x = 13,313,288,992,644/1,682,394
  6. Step 6: Final answer
    x = 7,913,300.33

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.