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Finding the Third Proportional to 791,019 and 1,638,114

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Solution

The third proportional to 791,019 and 1,638,114 is: 3,392,355.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    791,019 : 1,638,114 = 1,638,114 : x
  2. Step 2: Convert to fraction form
    791,019/1,638,114 = 1,638,114/x
  3. Step 3: Cross multiply
    791,019x = 1,638,114 × 1,638,114
  4. Step 4: Simplify right side
    791,019x = 2,683,417,476,996
  5. Step 5: Solve for x
    x = 2,683,417,476,996/791,019
  6. Step 6: Final answer
    x = 3,392,355.27

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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.