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Finding the Third Proportional to 431,340 and 941,784

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Solution

The third proportional to 431,340 and 941,784 is: 2,056,282.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,340 : 941,784 = 941,784 : x
  2. Step 2: Convert to fraction form
    431,340/941,784 = 941,784/x
  3. Step 3: Cross multiply
    431,340x = 941,784 × 941,784
  4. Step 4: Simplify right side
    431,340x = 886,957,102,656
  5. Step 5: Solve for x
    x = 886,957,102,656/431,340
  6. Step 6: Final answer
    x = 2,056,282.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.