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Finding the Third Proportional to 588,786 and 933,836

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Solution

The third proportional to 588,786 and 933,836 is: 1,481,097.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,786 : 933,836 = 933,836 : x
  2. Step 2: Convert to fraction form
    588,786/933,836 = 933,836/x
  3. Step 3: Cross multiply
    588,786x = 933,836 × 933,836
  4. Step 4: Simplify right side
    588,786x = 872,049,674,896
  5. Step 5: Solve for x
    x = 872,049,674,896/588,786
  6. Step 6: Final answer
    x = 1,481,097.84

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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.