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Finding the Third Proportional to 374,817 and 806,946

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Solution

The third proportional to 374,817 and 806,946 is: 1,737,279.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,817 : 806,946 = 806,946 : x
  2. Step 2: Convert to fraction form
    374,817/806,946 = 806,946/x
  3. Step 3: Cross multiply
    374,817x = 806,946 × 806,946
  4. Step 4: Simplify right side
    374,817x = 651,161,846,916
  5. Step 5: Solve for x
    x = 651,161,846,916/374,817
  6. Step 6: Final answer
    x = 1,737,279.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.