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Finding the Third Proportional to 1,548,640 and 3,396,413

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Solution

The third proportional to 1,548,640 and 3,396,413 is: 7,448,872.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,548,640 : 3,396,413 = 3,396,413 : x
  2. Step 2: Convert to fraction form
    1,548,640/3,396,413 = 3,396,413/x
  3. Step 3: Cross multiply
    1,548,640x = 3,396,413 × 3,396,413
  4. Step 4: Simplify right side
    1,548,640x = 11,535,621,266,569
  5. Step 5: Solve for x
    x = 11,535,621,266,569/1,548,640
  6. Step 6: Final answer
    x = 7,448,872.09

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.