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Finding the Third Proportional to 791,242 and 1,713,812

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Solution

The third proportional to 791,242 and 1,713,812 is: 3,712,077.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    791,242 : 1,713,812 = 1,713,812 : x
  2. Step 2: Convert to fraction form
    791,242/1,713,812 = 1,713,812/x
  3. Step 3: Cross multiply
    791,242x = 1,713,812 × 1,713,812
  4. Step 4: Simplify right side
    791,242x = 2,937,151,571,344
  5. Step 5: Solve for x
    x = 2,937,151,571,344/791,242
  6. Step 6: Final answer
    x = 3,712,077.43

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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.