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Finding the Third Proportional to 1,682,397 and 3,648,753

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Solution

The third proportional to 1,682,397 and 3,648,753 is: 7,913,351.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682,397 : 3,648,753 = 3,648,753 : x
  2. Step 2: Convert to fraction form
    1,682,397/3,648,753 = 3,648,753/x
  3. Step 3: Cross multiply
    1,682,397x = 3,648,753 × 3,648,753
  4. Step 4: Simplify right side
    1,682,397x = 13,313,398,455,009
  5. Step 5: Solve for x
    x = 13,313,398,455,009/1,682,397
  6. Step 6: Final answer
    x = 7,913,351.28

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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.