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Finding the Third Proportional to 559,306 and 839,019

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Solution

The third proportional to 559,306 and 839,019 is: 1,258,618.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,306 : 839,019 = 839,019 : x
  2. Step 2: Convert to fraction form
    559,306/839,019 = 839,019/x
  3. Step 3: Cross multiply
    559,306x = 839,019 × 839,019
  4. Step 4: Simplify right side
    559,306x = 703,952,882,361
  5. Step 5: Solve for x
    x = 703,952,882,361/559,306
  6. Step 6: Final answer
    x = 1,258,618.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.