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Finding the Third Proportional to 519,390 and 811,888

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Solution

The third proportional to 519,390 and 811,888 is: 1,269,108.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,390 : 811,888 = 811,888 : x
  2. Step 2: Convert to fraction form
    519,390/811,888 = 811,888/x
  3. Step 3: Cross multiply
    519,390x = 811,888 × 811,888
  4. Step 4: Simplify right side
    519,390x = 659,162,124,544
  5. Step 5: Solve for x
    x = 659,162,124,544/519,390
  6. Step 6: Final answer
    x = 1,269,108.23

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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.