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Finding the Third Proportional to 834,431 and 1,713,098

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Solution

The third proportional to 834,431 and 1,713,098 is: 3,517,013.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,431 : 1,713,098 = 1,713,098 : x
  2. Step 2: Convert to fraction form
    834,431/1,713,098 = 1,713,098/x
  3. Step 3: Cross multiply
    834,431x = 1,713,098 × 1,713,098
  4. Step 4: Simplify right side
    834,431x = 2,934,704,757,604
  5. Step 5: Solve for x
    x = 2,934,704,757,604/834,431
  6. Step 6: Final answer
    x = 3,517,013.10

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.