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Finding the Third Proportional to 939,453 and 2,058,455.25

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Solution

The third proportional to 939,453 and 2,058,455.25 is: 4,510,324.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    939,453 : 2,058,455.25 = 2,058,455.25 : x
  2. Step 2: Convert to fraction form
    939,453/2,058,455.25 = 2,058,455.25/x
  3. Step 3: Cross multiply
    939,453x = 2,058,455.25 × 2,058,455.25
  4. Step 4: Simplify right side
    939,453x = 4,237,238,016,252.56
  5. Step 5: Solve for x
    x = 4,237,238,016,252.56/939,453
  6. Step 6: Final answer
    x = 4,510,324.64

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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.