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Finding the Third Proportional to 522,084 and 830,743

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Solution

The third proportional to 522,084 and 830,743 is: 1,321,882.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,084 : 830,743 = 830,743 : x
  2. Step 2: Convert to fraction form
    522,084/830,743 = 830,743/x
  3. Step 3: Cross multiply
    522,084x = 830,743 × 830,743
  4. Step 4: Simplify right side
    522,084x = 690,133,932,049
  5. Step 5: Solve for x
    x = 690,133,932,049/522,084
  6. Step 6: Final answer
    x = 1,321,882.94

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.