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Finding the Third Proportional to 491,181 and 1,085,598

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Solution

The third proportional to 491,181 and 1,085,598 is: 2,399,366.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,181 : 1,085,598 = 1,085,598 : x
  2. Step 2: Convert to fraction form
    491,181/1,085,598 = 1,085,598/x
  3. Step 3: Cross multiply
    491,181x = 1,085,598 × 1,085,598
  4. Step 4: Simplify right side
    491,181x = 1,178,523,017,604
  5. Step 5: Solve for x
    x = 1,178,523,017,604/491,181
  6. Step 6: Final answer
    x = 2,399,366.05

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.