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Finding the Third Proportional to 826,716 and 1,771,529

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Solution

The third proportional to 826,716 and 1,771,529 is: 3,796,122.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,716 : 1,771,529 = 1,771,529 : x
  2. Step 2: Convert to fraction form
    826,716/1,771,529 = 1,771,529/x
  3. Step 3: Cross multiply
    826,716x = 1,771,529 × 1,771,529
  4. Step 4: Simplify right side
    826,716x = 3,138,314,997,841
  5. Step 5: Solve for x
    x = 3,138,314,997,841/826,716
  6. Step 6: Final answer
    x = 3,796,122.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.