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Finding the Third Proportional to 1,422,012 and 2,012,095

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Solution

The third proportional to 1,422,012 and 2,012,095 is: 2,847,040.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422,012 : 2,012,095 = 2,012,095 : x
  2. Step 2: Convert to fraction form
    1,422,012/2,012,095 = 2,012,095/x
  3. Step 3: Cross multiply
    1,422,012x = 2,012,095 × 2,012,095
  4. Step 4: Simplify right side
    1,422,012x = 4,048,526,289,025
  5. Step 5: Solve for x
    x = 4,048,526,289,025/1,422,012
  6. Step 6: Final answer
    x = 2,847,040.88

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.