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Finding the Third Proportional to 441,234 and 934,470

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Solution

The third proportional to 441,234 and 934,470 is: 1,979,072.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,234 : 934,470 = 934,470 : x
  2. Step 2: Convert to fraction form
    441,234/934,470 = 934,470/x
  3. Step 3: Cross multiply
    441,234x = 934,470 × 934,470
  4. Step 4: Simplify right side
    441,234x = 873,234,180,900
  5. Step 5: Solve for x
    x = 873,234,180,900/441,234
  6. Step 6: Final answer
    x = 1,979,072.74

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.