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Finding the Third Proportional to 812,461 and 1,760,516

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Solution

The third proportional to 812,461 and 1,760,516 is: 3,814,849.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,461 : 1,760,516 = 1,760,516 : x
  2. Step 2: Convert to fraction form
    812,461/1,760,516 = 1,760,516/x
  3. Step 3: Cross multiply
    812,461x = 1,760,516 × 1,760,516
  4. Step 4: Simplify right side
    812,461x = 3,099,416,586,256
  5. Step 5: Solve for x
    x = 3,099,416,586,256/812,461
  6. Step 6: Final answer
    x = 3,814,849.68

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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.