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Finding the Third Proportional to 3,669,346 and 5,396,175

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Solution

The third proportional to 3,669,346 and 5,396,175 is: 7,935,666.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669,346 : 5,396,175 = 5,396,175 : x
  2. Step 2: Convert to fraction form
    3,669,346/5,396,175 = 5,396,175/x
  3. Step 3: Cross multiply
    3,669,346x = 5,396,175 × 5,396,175
  4. Step 4: Simplify right side
    3,669,346x = 29,118,704,630,625
  5. Step 5: Solve for x
    x = 29,118,704,630,625/3,669,346
  6. Step 6: Final answer
    x = 7,935,666.09

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.