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Finding the Third Proportional to 1,605,945 and 3,566,184

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Solution

The third proportional to 1,605,945 and 3,566,184 is: 7,919,118.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605,945 : 3,566,184 = 3,566,184 : x
  2. Step 2: Convert to fraction form
    1,605,945/3,566,184 = 3,566,184/x
  3. Step 3: Cross multiply
    1,605,945x = 3,566,184 × 3,566,184
  4. Step 4: Simplify right side
    1,605,945x = 12,717,668,321,856
  5. Step 5: Solve for x
    x = 12,717,668,321,856/1,605,945
  6. Step 6: Final answer
    x = 7,919,118.23

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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.