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Finding the Third Proportional to 594,759 and 847,849

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Solution

The third proportional to 594,759 and 847,849 is: 1,208,637.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,759 : 847,849 = 847,849 : x
  2. Step 2: Convert to fraction form
    594,759/847,849 = 847,849/x
  3. Step 3: Cross multiply
    594,759x = 847,849 × 847,849
  4. Step 4: Simplify right side
    594,759x = 718,847,926,801
  5. Step 5: Solve for x
    x = 718,847,926,801/594,759
  6. Step 6: Final answer
    x = 1,208,637.33

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.