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Finding the Third Proportional to 791,041 and 1,638,157

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Solution

The third proportional to 791,041 and 1,638,157 is: 3,392,439.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    791,041 : 1,638,157 = 1,638,157 : x
  2. Step 2: Convert to fraction form
    791,041/1,638,157 = 1,638,157/x
  3. Step 3: Cross multiply
    791,041x = 1,638,157 × 1,638,157
  4. Step 4: Simplify right side
    791,041x = 2,683,558,356,649
  5. Step 5: Solve for x
    x = 2,683,558,356,649/791,041
  6. Step 6: Final answer
    x = 3,392,439.02

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.