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Finding the Third Proportional to 600,720 and 839,844

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Solution

The third proportional to 600,720 and 839,844 is: 1,174,154.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,720 : 839,844 = 839,844 : x
  2. Step 2: Convert to fraction form
    600,720/839,844 = 839,844/x
  3. Step 3: Cross multiply
    600,720x = 839,844 × 839,844
  4. Step 4: Simplify right side
    600,720x = 705,337,944,336
  5. Step 5: Solve for x
    x = 705,337,944,336/600,720
  6. Step 6: Final answer
    x = 1,174,154.26

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.