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Finding the Third Proportional to 2,004,886.69 and 4,311,917.30

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Solution

The third proportional to 2,004,886.69 and 4,311,917.30 is: 9,273,656.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004,886.69 : 4,311,917.30 = 4,311,917.30 : x
  2. Step 2: Convert to fraction form
    2,004,886.69/4,311,917.30 = 4,311,917.30/x
  3. Step 3: Cross multiply
    2,004,886.69x = 4,311,917.30 × 4,311,917.30
  4. Step 4: Simplify right side
    2,004,886.69x = 18,592,630,775,089.81
  5. Step 5: Solve for x
    x = 18,592,630,775,089.81/2,004,886.69
  6. Step 6: Final answer
    x = 9,273,656.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.