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Finding the Third Proportional to 537,181 and 838,460

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Solution

The third proportional to 537,181 and 838,460 is: 1,308,711.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,181 : 838,460 = 838,460 : x
  2. Step 2: Convert to fraction form
    537,181/838,460 = 838,460/x
  3. Step 3: Cross multiply
    537,181x = 838,460 × 838,460
  4. Step 4: Simplify right side
    537,181x = 703,015,171,600
  5. Step 5: Solve for x
    x = 703,015,171,600/537,181
  6. Step 6: Final answer
    x = 1,308,711.91

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.