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Finding the Third Proportional to 840,603 and 1,824,096

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Solution

The third proportional to 840,603 and 1,824,096 is: 3,958,261.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,603 : 1,824,096 = 1,824,096 : x
  2. Step 2: Convert to fraction form
    840,603/1,824,096 = 1,824,096/x
  3. Step 3: Cross multiply
    840,603x = 1,824,096 × 1,824,096
  4. Step 4: Simplify right side
    840,603x = 3,327,326,217,216
  5. Step 5: Solve for x
    x = 3,327,326,217,216/840,603
  6. Step 6: Final answer
    x = 3,958,261.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.