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Finding the Third Proportional to 5,833,406 and 8,403,225

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Solution

The third proportional to 5,833,406 and 8,403,225 is: 12,105,138.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,833,406 : 8,403,225 = 8,403,225 : x
  2. Step 2: Convert to fraction form
    5,833,406/8,403,225 = 8,403,225/x
  3. Step 3: Cross multiply
    5,833,406x = 8,403,225 × 8,403,225
  4. Step 4: Simplify right side
    5,833,406x = 70,614,190,400,625
  5. Step 5: Solve for x
    x = 70,614,190,400,625/5,833,406
  6. Step 6: Final answer
    x = 12,105,138.99

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.