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Finding the Third Proportional to 2,065,578.38 and 4,298,805

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Solution

The third proportional to 2,065,578.38 and 4,298,805 is: 8,946,513.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065,578.38 : 4,298,805 = 4,298,805 : x
  2. Step 2: Convert to fraction form
    2,065,578.38/4,298,805 = 4,298,805/x
  3. Step 3: Cross multiply
    2,065,578.38x = 4,298,805 × 4,298,805
  4. Step 4: Simplify right side
    2,065,578.38x = 18,479,724,428,025
  5. Step 5: Solve for x
    x = 18,479,724,428,025/2,065,578.38
  6. Step 6: Final answer
    x = 8,946,513.31

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.