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Finding the Third Proportional to 458,430.75 and 1,002,051

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Solution

The third proportional to 458,430.75 and 1,002,051 is: 2,190,311.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,430.75 : 1,002,051 = 1,002,051 : x
  2. Step 2: Convert to fraction form
    458,430.75/1,002,051 = 1,002,051/x
  3. Step 3: Cross multiply
    458,430.75x = 1,002,051 × 1,002,051
  4. Step 4: Simplify right side
    458,430.75x = 1,004,106,206,601
  5. Step 5: Solve for x
    x = 1,004,106,206,601/458,430.75
  6. Step 6: Final answer
    x = 2,190,311.64

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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.