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Finding the Third Proportional to 374,857 and 809,586

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Solution

The third proportional to 374,857 and 809,586 is: 1,748,478.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,857 : 809,586 = 809,586 : x
  2. Step 2: Convert to fraction form
    374,857/809,586 = 809,586/x
  3. Step 3: Cross multiply
    374,857x = 809,586 × 809,586
  4. Step 4: Simplify right side
    374,857x = 655,429,491,396
  5. Step 5: Solve for x
    x = 655,429,491,396/374,857
  6. Step 6: Final answer
    x = 1,748,478.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.