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Finding the Third Proportional to 401,062 and 856,246

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Solution

The third proportional to 401,062 and 856,246 is: 1,828,039.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,062 : 856,246 = 856,246 : x
  2. Step 2: Convert to fraction form
    401,062/856,246 = 856,246/x
  3. Step 3: Cross multiply
    401,062x = 856,246 × 856,246
  4. Step 4: Simplify right side
    401,062x = 733,157,212,516
  5. Step 5: Solve for x
    x = 733,157,212,516/401,062
  6. Step 6: Final answer
    x = 1,828,039.59

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.