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Finding the Third Proportional to 812,457 and 1,760,508

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Solution

The third proportional to 812,457 and 1,760,508 is: 3,814,833.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,457 : 1,760,508 = 1,760,508 : x
  2. Step 2: Convert to fraction form
    812,457/1,760,508 = 1,760,508/x
  3. Step 3: Cross multiply
    812,457x = 1,760,508 × 1,760,508
  4. Step 4: Simplify right side
    812,457x = 3,099,388,418,064
  5. Step 5: Solve for x
    x = 3,099,388,418,064/812,457
  6. Step 6: Final answer
    x = 3,814,833.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.