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Finding the Third Proportional to 811,508 and 1,266,392

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Solution

The third proportional to 811,508 and 1,266,392 is: 1,976,257.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,508 : 1,266,392 = 1,266,392 : x
  2. Step 2: Convert to fraction form
    811,508/1,266,392 = 1,266,392/x
  3. Step 3: Cross multiply
    811,508x = 1,266,392 × 1,266,392
  4. Step 4: Simplify right side
    811,508x = 1,603,748,697,664
  5. Step 5: Solve for x
    x = 1,603,748,697,664/811,508
  6. Step 6: Final answer
    x = 1,976,257.41

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.