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Finding the Third Proportional to 491,173 and 1,085,582

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Solution

The third proportional to 491,173 and 1,085,582 is: 2,399,334.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,173 : 1,085,582 = 1,085,582 : x
  2. Step 2: Convert to fraction form
    491,173/1,085,582 = 1,085,582/x
  3. Step 3: Cross multiply
    491,173x = 1,085,582 × 1,085,582
  4. Step 4: Simplify right side
    491,173x = 1,178,488,278,724
  5. Step 5: Solve for x
    x = 1,178,488,278,724/491,173
  6. Step 6: Final answer
    x = 2,399,334.41

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