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Finding the Third Proportional to 775,144 and 1,644,102

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Solution

The third proportional to 775,144 and 1,644,102 is: 3,487,186.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,144 : 1,644,102 = 1,644,102 : x
  2. Step 2: Convert to fraction form
    775,144/1,644,102 = 1,644,102/x
  3. Step 3: Cross multiply
    775,144x = 1,644,102 × 1,644,102
  4. Step 4: Simplify right side
    775,144x = 2,703,071,386,404
  5. Step 5: Solve for x
    x = 2,703,071,386,404/775,144
  6. Step 6: Final answer
    x = 3,487,186.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.