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Finding the Third Proportional to 1,969,966 and 4,313,596

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Solution

The third proportional to 1,969,966 and 4,313,596 is: 9,445,396.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969,966 : 4,313,596 = 4,313,596 : x
  2. Step 2: Convert to fraction form
    1,969,966/4,313,596 = 4,313,596/x
  3. Step 3: Cross multiply
    1,969,966x = 4,313,596 × 4,313,596
  4. Step 4: Simplify right side
    1,969,966x = 18,607,110,451,216
  5. Step 5: Solve for x
    x = 18,607,110,451,216/1,969,966
  6. Step 6: Final answer
    x = 9,445,396.75

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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.