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Finding the Third Proportional to 1,911,004.50 and 4,140,825

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Solution

The third proportional to 1,911,004.50 and 4,140,825 is: 8,972,470.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,911,004.50 : 4,140,825 = 4,140,825 : x
  2. Step 2: Convert to fraction form
    1,911,004.50/4,140,825 = 4,140,825/x
  3. Step 3: Cross multiply
    1,911,004.50x = 4,140,825 × 4,140,825
  4. Step 4: Simplify right side
    1,911,004.50x = 17,146,431,680,625
  5. Step 5: Solve for x
    x = 17,146,431,680,625/1,911,004.50
  6. Step 6: Final answer
    x = 8,972,470.59

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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.