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Finding the Third Proportional to 543,656 and 839,724

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Solution

The third proportional to 543,656 and 839,724 is: 1,297,026.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,656 : 839,724 = 839,724 : x
  2. Step 2: Convert to fraction form
    543,656/839,724 = 839,724/x
  3. Step 3: Cross multiply
    543,656x = 839,724 × 839,724
  4. Step 4: Simplify right side
    543,656x = 705,136,396,176
  5. Step 5: Solve for x
    x = 705,136,396,176/543,656
  6. Step 6: Final answer
    x = 1,297,026.79

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.