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Finding the Third Proportional to 2,022,313.50 and 4,293,945

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Solution

The third proportional to 2,022,313.50 and 4,293,945 is: 9,117,262.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022,313.50 : 4,293,945 = 4,293,945 : x
  2. Step 2: Convert to fraction form
    2,022,313.50/4,293,945 = 4,293,945/x
  3. Step 3: Cross multiply
    2,022,313.50x = 4,293,945 × 4,293,945
  4. Step 4: Simplify right side
    2,022,313.50x = 18,437,963,663,025
  5. Step 5: Solve for x
    x = 18,437,963,663,025/2,022,313.50
  6. Step 6: Final answer
    x = 9,117,262.81

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.