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Finding the Third Proportional to 840,916 and 1,974,193

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Solution

The third proportional to 840,916 and 1,974,193 is: 4,634,753.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,916 : 1,974,193 = 1,974,193 : x
  2. Step 2: Convert to fraction form
    840,916/1,974,193 = 1,974,193/x
  3. Step 3: Cross multiply
    840,916x = 1,974,193 × 1,974,193
  4. Step 4: Simplify right side
    840,916x = 3,897,438,001,249
  5. Step 5: Solve for x
    x = 3,897,438,001,249/840,916
  6. Step 6: Final answer
    x = 4,634,753.06

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.