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Finding the Third Proportional to 3,478,459 and 5,201,695

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Solution

The third proportional to 3,478,459 and 5,201,695 is: 7,778,625.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478,459 : 5,201,695 = 5,201,695 : x
  2. Step 2: Convert to fraction form
    3,478,459/5,201,695 = 5,201,695/x
  3. Step 3: Cross multiply
    3,478,459x = 5,201,695 × 5,201,695
  4. Step 4: Simplify right side
    3,478,459x = 27,057,630,873,025
  5. Step 5: Solve for x
    x = 27,057,630,873,025/3,478,459
  6. Step 6: Final answer
    x = 7,778,625.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.