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Finding the Third Proportional to 438,596 and 937,096

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Solution

The third proportional to 438,596 and 937,096 is: 2,002,181.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,596 : 937,096 = 937,096 : x
  2. Step 2: Convert to fraction form
    438,596/937,096 = 937,096/x
  3. Step 3: Cross multiply
    438,596x = 937,096 × 937,096
  4. Step 4: Simplify right side
    438,596x = 878,148,913,216
  5. Step 5: Solve for x
    x = 878,148,913,216/438,596
  6. Step 6: Final answer
    x = 2,002,181.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.