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Finding the Third Proportional to 1,899,656.50 and 3,876,830

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Solution

The third proportional to 1,899,656.50 and 3,876,830 is: 7,911,857.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,899,656.50 : 3,876,830 = 3,876,830 : x
  2. Step 2: Convert to fraction form
    1,899,656.50/3,876,830 = 3,876,830/x
  3. Step 3: Cross multiply
    1,899,656.50x = 3,876,830 × 3,876,830
  4. Step 4: Simplify right side
    1,899,656.50x = 15,029,810,848,900
  5. Step 5: Solve for x
    x = 15,029,810,848,900/1,899,656.50
  6. Step 6: Final answer
    x = 7,911,857.14

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.