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Finding the Third Proportional to 394,148 and 893,516

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Solution

The third proportional to 394,148 and 893,516 is: 2,025,561.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,148 : 893,516 = 893,516 : x
  2. Step 2: Convert to fraction form
    394,148/893,516 = 893,516/x
  3. Step 3: Cross multiply
    394,148x = 893,516 × 893,516
  4. Step 4: Simplify right side
    394,148x = 798,370,842,256
  5. Step 5: Solve for x
    x = 798,370,842,256/394,148
  6. Step 6: Final answer
    x = 2,025,561.06

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.