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Finding the Third Proportional to 453,822.75 and 990,169.31

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Solution

The third proportional to 453,822.75 and 990,169.31 is: 2,160,392.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,822.75 : 990,169.31 = 990,169.31 : x
  2. Step 2: Convert to fraction form
    453,822.75/990,169.31 = 990,169.31/x
  3. Step 3: Cross multiply
    453,822.75x = 990,169.31 × 990,169.31
  4. Step 4: Simplify right side
    453,822.75x = 980,435,267,416.72
  5. Step 5: Solve for x
    x = 980,435,267,416.72/453,822.75
  6. Step 6: Final answer
    x = 2,160,392.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.