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Finding the Third Proportional to 435,802 and 941,630

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Solution

The third proportional to 435,802 and 941,630 is: 2,034,563.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,802 : 941,630 = 941,630 : x
  2. Step 2: Convert to fraction form
    435,802/941,630 = 941,630/x
  3. Step 3: Cross multiply
    435,802x = 941,630 × 941,630
  4. Step 4: Simplify right side
    435,802x = 886,667,056,900
  5. Step 5: Solve for x
    x = 886,667,056,900/435,802
  6. Step 6: Final answer
    x = 2,034,563.99

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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.