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Finding the Third Proportional to 434,684 and 941,716

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Solution

The third proportional to 434,684 and 941,716 is: 2,040,169.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,684 : 941,716 = 941,716 : x
  2. Step 2: Convert to fraction form
    434,684/941,716 = 941,716/x
  3. Step 3: Cross multiply
    434,684x = 941,716 × 941,716
  4. Step 4: Simplify right side
    434,684x = 886,829,024,656
  5. Step 5: Solve for x
    x = 886,829,024,656/434,684
  6. Step 6: Final answer
    x = 2,040,169.47

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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.