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Finding the Third Proportional to 1,419,723 and 3,078,987.75

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Solution

The third proportional to 1,419,723 and 3,078,987.75 is: 6,677,475.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419,723 : 3,078,987.75 = 3,078,987.75 : x
  2. Step 2: Convert to fraction form
    1,419,723/3,078,987.75 = 3,078,987.75/x
  3. Step 3: Cross multiply
    1,419,723x = 3,078,987.75 × 3,078,987.75
  4. Step 4: Simplify right side
    1,419,723x = 9,480,165,564,650.06
  5. Step 5: Solve for x
    x = 9,480,165,564,650.06/1,419,723
  6. Step 6: Final answer
    x = 6,677,475.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.