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Finding the Third Proportional to 791,022 and 1,638,117

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Solution

The third proportional to 791,022 and 1,638,117 is: 3,392,354.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    791,022 : 1,638,117 = 1,638,117 : x
  2. Step 2: Convert to fraction form
    791,022/1,638,117 = 1,638,117/x
  3. Step 3: Cross multiply
    791,022x = 1,638,117 × 1,638,117
  4. Step 4: Simplify right side
    791,022x = 2,683,427,305,689
  5. Step 5: Solve for x
    x = 2,683,427,305,689/791,022
  6. Step 6: Final answer
    x = 3,392,354.83

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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.