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Finding the Third Proportional to 2,003,879.25 and 4,077,742.50

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Solution

The third proportional to 2,003,879.25 and 4,077,742.50 is: 8,297,897.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003,879.25 : 4,077,742.50 = 4,077,742.50 : x
  2. Step 2: Convert to fraction form
    2,003,879.25/4,077,742.50 = 4,077,742.50/x
  3. Step 3: Cross multiply
    2,003,879.25x = 4,077,742.50 × 4,077,742.50
  4. Step 4: Simplify right side
    2,003,879.25x = 16,627,983,896,306.25
  5. Step 5: Solve for x
    x = 16,627,983,896,306.25/2,003,879.25
  6. Step 6: Final answer
    x = 8,297,897.14

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.