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Finding the Third Proportional to 519,544.13 and 812,121.19

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Solution

The third proportional to 519,544.13 and 812,121.19 is: 1,269,460.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,544.13 : 812,121.19 = 812,121.19 : x
  2. Step 2: Convert to fraction form
    519,544.13/812,121.19 = 812,121.19/x
  3. Step 3: Cross multiply
    519,544.13x = 812,121.19 × 812,121.19
  4. Step 4: Simplify right side
    519,544.13x = 659,540,823,186.41
  5. Step 5: Solve for x
    x = 659,540,823,186.41/519,544.13
  6. Step 6: Final answer
    x = 1,269,460.65

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.