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Finding the Third Proportional to 559,464 and 843,841

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Solution

The third proportional to 559,464 and 843,841 is: 1,272,767.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,464 : 843,841 = 843,841 : x
  2. Step 2: Convert to fraction form
    559,464/843,841 = 843,841/x
  3. Step 3: Cross multiply
    559,464x = 843,841 × 843,841
  4. Step 4: Simplify right side
    559,464x = 712,067,633,281
  5. Step 5: Solve for x
    x = 712,067,633,281/559,464
  6. Step 6: Final answer
    x = 1,272,767.57

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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.