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Finding the Third Proportional to 483,823.13 and 1,025,327.25

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Solution

The third proportional to 483,823.13 and 1,025,327.25 is: 2,172,893.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,823.13 : 1,025,327.25 = 1,025,327.25 : x
  2. Step 2: Convert to fraction form
    483,823.13/1,025,327.25 = 1,025,327.25/x
  3. Step 3: Cross multiply
    483,823.13x = 1,025,327.25 × 1,025,327.25
  4. Step 4: Simplify right side
    483,823.13x = 1,051,295,969,592.56
  5. Step 5: Solve for x
    x = 1,051,295,969,592.56/483,823.13
  6. Step 6: Final answer
    x = 2,172,893.18

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.