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Finding the Third Proportional to 409,545 and 851,787

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Solution

The third proportional to 409,545 and 851,787 is: 1,771,578.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,545 : 851,787 = 851,787 : x
  2. Step 2: Convert to fraction form
    409,545/851,787 = 851,787/x
  3. Step 3: Cross multiply
    409,545x = 851,787 × 851,787
  4. Step 4: Simplify right side
    409,545x = 725,541,093,369
  5. Step 5: Solve for x
    x = 725,541,093,369/409,545
  6. Step 6: Final answer
    x = 1,771,578.44

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.