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Finding the Third Proportional to 611,834 and 860,061

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Solution

The third proportional to 611,834 and 860,061 is: 1,208,996.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,834 : 860,061 = 860,061 : x
  2. Step 2: Convert to fraction form
    611,834/860,061 = 860,061/x
  3. Step 3: Cross multiply
    611,834x = 860,061 × 860,061
  4. Step 4: Simplify right side
    611,834x = 739,704,923,721
  5. Step 5: Solve for x
    x = 739,704,923,721/611,834
  6. Step 6: Final answer
    x = 1,208,996.11

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.