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Finding the Third Proportional to 3,831,408 and 5,578,632

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Solution

The third proportional to 3,831,408 and 5,578,632 is: 8,122,636.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831,408 : 5,578,632 = 5,578,632 : x
  2. Step 2: Convert to fraction form
    3,831,408/5,578,632 = 5,578,632/x
  3. Step 3: Cross multiply
    3,831,408x = 5,578,632 × 5,578,632
  4. Step 4: Simplify right side
    3,831,408x = 31,121,134,991,424
  5. Step 5: Solve for x
    x = 31,121,134,991,424/3,831,408
  6. Step 6: Final answer
    x = 8,122,636.64

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.