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Finding the Third Proportional to 1,233,564 and 1,906,374

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Solution

The third proportional to 1,233,564 and 1,906,374 is: 2,946,147.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233,564 : 1,906,374 = 1,906,374 : x
  2. Step 2: Convert to fraction form
    1,233,564/1,906,374 = 1,906,374/x
  3. Step 3: Cross multiply
    1,233,564x = 1,906,374 × 1,906,374
  4. Step 4: Simplify right side
    1,233,564x = 3,634,261,827,876
  5. Step 5: Solve for x
    x = 3,634,261,827,876/1,233,564
  6. Step 6: Final answer
    x = 2,946,147.77

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.