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Finding the Third Proportional to 440,974 and 934,935

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Solution

The third proportional to 440,974 and 934,935 is: 1,982,210.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,974 : 934,935 = 934,935 : x
  2. Step 2: Convert to fraction form
    440,974/934,935 = 934,935/x
  3. Step 3: Cross multiply
    440,974x = 934,935 × 934,935
  4. Step 4: Simplify right side
    440,974x = 874,103,454,225
  5. Step 5: Solve for x
    x = 874,103,454,225/440,974
  6. Step 6: Final answer
    x = 1,982,210.87

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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.