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Finding the Third Proportional to 1,536,640 and 3,353,216

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Solution

The third proportional to 1,536,640 and 3,353,216 is: 7,317,301.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536,640 : 3,353,216 = 3,353,216 : x
  2. Step 2: Convert to fraction form
    1,536,640/3,353,216 = 3,353,216/x
  3. Step 3: Cross multiply
    1,536,640x = 3,353,216 × 3,353,216
  4. Step 4: Simplify right side
    1,536,640x = 11,244,057,542,656
  5. Step 5: Solve for x
    x = 11,244,057,542,656/1,536,640
  6. Step 6: Final answer
    x = 7,317,301.09

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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.