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Finding the Third Proportional to 4,000,825 and 5,717,086

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Solution

The third proportional to 4,000,825 and 5,717,086 is: 8,169,583.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,000,825 : 5,717,086 = 5,717,086 : x
  2. Step 2: Convert to fraction form
    4,000,825/5,717,086 = 5,717,086/x
  3. Step 3: Cross multiply
    4,000,825x = 5,717,086 × 5,717,086
  4. Step 4: Simplify right side
    4,000,825x = 32,685,072,331,396
  5. Step 5: Solve for x
    x = 32,685,072,331,396/4,000,825
  6. Step 6: Final answer
    x = 8,169,583.11

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.