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Finding the Third Proportional to 440,977 and 934,942

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Solution

The third proportional to 440,977 and 934,942 is: 1,982,227.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,977 : 934,942 = 934,942 : x
  2. Step 2: Convert to fraction form
    440,977/934,942 = 934,942/x
  3. Step 3: Cross multiply
    440,977x = 934,942 × 934,942
  4. Step 4: Simplify right side
    440,977x = 874,116,543,364
  5. Step 5: Solve for x
    x = 874,116,543,364/440,977
  6. Step 6: Final answer
    x = 1,982,227.06

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.