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Finding the Third Proportional to 1,605,962 and 3,566,212

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Solution

The third proportional to 1,605,962 and 3,566,212 is: 7,919,158.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605,962 : 3,566,212 = 3,566,212 : x
  2. Step 2: Convert to fraction form
    1,605,962/3,566,212 = 3,566,212/x
  3. Step 3: Cross multiply
    1,605,962x = 3,566,212 × 3,566,212
  4. Step 4: Simplify right side
    1,605,962x = 12,717,868,028,944
  5. Step 5: Solve for x
    x = 12,717,868,028,944/1,605,962
  6. Step 6: Final answer
    x = 7,919,158.75

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.