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Finding the Third Proportional to 464,563.69 and 1,028,620.69

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Solution

The third proportional to 464,563.69 and 1,028,620.69 is: 2,277,535.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,563.69 : 1,028,620.69 = 1,028,620.69 : x
  2. Step 2: Convert to fraction form
    464,563.69/1,028,620.69 = 1,028,620.69/x
  3. Step 3: Cross multiply
    464,563.69x = 1,028,620.69 × 1,028,620.69
  4. Step 4: Simplify right side
    464,563.69x = 1,058,060,518,752.97
  5. Step 5: Solve for x
    x = 1,058,060,518,752.97/464,563.69
  6. Step 6: Final answer
    x = 2,277,535.99

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.