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Finding the Third Proportional to 1,422,001 and 2,012,080

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Solution

The third proportional to 1,422,001 and 2,012,080 is: 2,847,020.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422,001 : 2,012,080 = 2,012,080 : x
  2. Step 2: Convert to fraction form
    1,422,001/2,012,080 = 2,012,080/x
  3. Step 3: Cross multiply
    1,422,001x = 2,012,080 × 2,012,080
  4. Step 4: Simplify right side
    1,422,001x = 4,048,465,926,400
  5. Step 5: Solve for x
    x = 4,048,465,926,400/1,422,001
  6. Step 6: Final answer
    x = 2,847,020.45

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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.