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Finding the Third Proportional to 1,406,992.50 and 2,138,922

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Solution

The third proportional to 1,406,992.50 and 2,138,922 is: 3,251,607.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406,992.50 : 2,138,922 = 2,138,922 : x
  2. Step 2: Convert to fraction form
    1,406,992.50/2,138,922 = 2,138,922/x
  3. Step 3: Cross multiply
    1,406,992.50x = 2,138,922 × 2,138,922
  4. Step 4: Simplify right side
    1,406,992.50x = 4,574,987,322,084
  5. Step 5: Solve for x
    x = 4,574,987,322,084/1,406,992.50
  6. Step 6: Final answer
    x = 3,251,607.47

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.