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Finding the Third Proportional to 434,096 and 938,374

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Solution

The third proportional to 434,096 and 938,374 is: 2,028,458.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,096 : 938,374 = 938,374 : x
  2. Step 2: Convert to fraction form
    434,096/938,374 = 938,374/x
  3. Step 3: Cross multiply
    434,096x = 938,374 × 938,374
  4. Step 4: Simplify right side
    434,096x = 880,545,763,876
  5. Step 5: Solve for x
    x = 880,545,763,876/434,096
  6. Step 6: Final answer
    x = 2,028,458.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.