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Finding the Third Proportional to 1,407,216 and 3,318,608

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Solution

The third proportional to 1,407,216 and 3,318,608 is: 7,826,203.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407,216 : 3,318,608 = 3,318,608 : x
  2. Step 2: Convert to fraction form
    1,407,216/3,318,608 = 3,318,608/x
  3. Step 3: Cross multiply
    1,407,216x = 3,318,608 × 3,318,608
  4. Step 4: Simplify right side
    1,407,216x = 11,013,159,057,664
  5. Step 5: Solve for x
    x = 11,013,159,057,664/1,407,216
  6. Step 6: Final answer
    x = 7,826,203.69

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.