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Finding the Third Proportional to 1,682,398 and 3,648,740

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Solution

The third proportional to 1,682,398 and 3,648,740 is: 7,913,290.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682,398 : 3,648,740 = 3,648,740 : x
  2. Step 2: Convert to fraction form
    1,682,398/3,648,740 = 3,648,740/x
  3. Step 3: Cross multiply
    1,682,398x = 3,648,740 × 3,648,740
  4. Step 4: Simplify right side
    1,682,398x = 13,313,303,587,600
  5. Step 5: Solve for x
    x = 13,313,303,587,600/1,682,398
  6. Step 6: Final answer
    x = 7,913,290.19

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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.