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Finding the Third Proportional to 559,449 and 843,826

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Solution

The third proportional to 559,449 and 843,826 is: 1,272,756.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,449 : 843,826 = 843,826 : x
  2. Step 2: Convert to fraction form
    559,449/843,826 = 843,826/x
  3. Step 3: Cross multiply
    559,449x = 843,826 × 843,826
  4. Step 4: Simplify right side
    559,449x = 712,042,318,276
  5. Step 5: Solve for x
    x = 712,042,318,276/559,449
  6. Step 6: Final answer
    x = 1,272,756.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.