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Finding the Third Proportional to 434,578 and 941,511

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Solution

The third proportional to 434,578 and 941,511 is: 2,039,778.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,578 : 941,511 = 941,511 : x
  2. Step 2: Convert to fraction form
    434,578/941,511 = 941,511/x
  3. Step 3: Cross multiply
    434,578x = 941,511 × 941,511
  4. Step 4: Simplify right side
    434,578x = 886,442,963,121
  5. Step 5: Solve for x
    x = 886,442,963,121/434,578
  6. Step 6: Final answer
    x = 2,039,778.74

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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.