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Finding the Third Proportional to 2,041,036 and 4,468,766

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Solution

The third proportional to 2,041,036 and 4,468,766 is: 9,784,182.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041,036 : 4,468,766 = 4,468,766 : x
  2. Step 2: Convert to fraction form
    2,041,036/4,468,766 = 4,468,766/x
  3. Step 3: Cross multiply
    2,041,036x = 4,468,766 × 4,468,766
  4. Step 4: Simplify right side
    2,041,036x = 19,969,869,562,756
  5. Step 5: Solve for x
    x = 19,969,869,562,756/2,041,036
  6. Step 6: Final answer
    x = 9,784,182.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.