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Finding the Third Proportional to 438,542 and 958,246

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Solution

The third proportional to 438,542 and 958,246 is: 2,093,836.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,542 : 958,246 = 958,246 : x
  2. Step 2: Convert to fraction form
    438,542/958,246 = 958,246/x
  3. Step 3: Cross multiply
    438,542x = 958,246 × 958,246
  4. Step 4: Simplify right side
    438,542x = 918,235,396,516
  5. Step 5: Solve for x
    x = 918,235,396,516/438,542
  6. Step 6: Final answer
    x = 2,093,836.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.