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Finding the Third Proportional to 1,107,218 and 2,302,783

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Solution

The third proportional to 1,107,218 and 2,302,783 is: 4,789,309.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107,218 : 2,302,783 = 2,302,783 : x
  2. Step 2: Convert to fraction form
    1,107,218/2,302,783 = 2,302,783/x
  3. Step 3: Cross multiply
    1,107,218x = 2,302,783 × 2,302,783
  4. Step 4: Simplify right side
    1,107,218x = 5,302,809,545,089
  5. Step 5: Solve for x
    x = 5,302,809,545,089/1,107,218
  6. Step 6: Final answer
    x = 4,789,309.37

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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.