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Finding the Third Proportional to 491,856 and 741,246

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Solution

The third proportional to 491,856 and 741,246 is: 1,117,086.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,856 : 741,246 = 741,246 : x
  2. Step 2: Convert to fraction form
    491,856/741,246 = 741,246/x
  3. Step 3: Cross multiply
    491,856x = 741,246 × 741,246
  4. Step 4: Simplify right side
    491,856x = 549,445,632,516
  5. Step 5: Solve for x
    x = 549,445,632,516/491,856
  6. Step 6: Final answer
    x = 1,117,086.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.