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Finding the Third Proportional to 1,969,975 and 4,313,617

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Solution

The third proportional to 1,969,975 and 4,313,617 is: 9,445,445.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969,975 : 4,313,617 = 4,313,617 : x
  2. Step 2: Convert to fraction form
    1,969,975/4,313,617 = 4,313,617/x
  3. Step 3: Cross multiply
    1,969,975x = 4,313,617 × 4,313,617
  4. Step 4: Simplify right side
    1,969,975x = 18,607,291,622,689
  5. Step 5: Solve for x
    x = 18,607,291,622,689/1,969,975
  6. Step 6: Final answer
    x = 9,445,445.56

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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.