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Finding the Third Proportional to 697,689 and 1,501,866

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Solution

The third proportional to 697,689 and 1,501,866 is: 3,232,961.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,689 : 1,501,866 = 1,501,866 : x
  2. Step 2: Convert to fraction form
    697,689/1,501,866 = 1,501,866/x
  3. Step 3: Cross multiply
    697,689x = 1,501,866 × 1,501,866
  4. Step 4: Simplify right side
    697,689x = 2,255,601,481,956
  5. Step 5: Solve for x
    x = 2,255,601,481,956/697,689
  6. Step 6: Final answer
    x = 3,232,961.22

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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.