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Finding the Third Proportional to 691,896 and 1,504,962

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Solution

The third proportional to 691,896 and 1,504,962 is: 3,273,484.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,896 : 1,504,962 = 1,504,962 : x
  2. Step 2: Convert to fraction form
    691,896/1,504,962 = 1,504,962/x
  3. Step 3: Cross multiply
    691,896x = 1,504,962 × 1,504,962
  4. Step 4: Simplify right side
    691,896x = 2,264,910,621,444
  5. Step 5: Solve for x
    x = 2,264,910,621,444/691,896
  6. Step 6: Final answer
    x = 3,273,484.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.