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Finding the Third Proportional to 559,460 and 843,834

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Solution

The third proportional to 559,460 and 843,834 is: 1,272,755.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,460 : 843,834 = 843,834 : x
  2. Step 2: Convert to fraction form
    559,460/843,834 = 843,834/x
  3. Step 3: Cross multiply
    559,460x = 843,834 × 843,834
  4. Step 4: Simplify right side
    559,460x = 712,055,819,556
  5. Step 5: Solve for x
    x = 712,055,819,556/559,460
  6. Step 6: Final answer
    x = 1,272,755.55

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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.