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Finding the Third Proportional to 435,758 and 943,900

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Solution

The third proportional to 435,758 and 943,900 is: 2,044,591.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,758 : 943,900 = 943,900 : x
  2. Step 2: Convert to fraction form
    435,758/943,900 = 943,900/x
  3. Step 3: Cross multiply
    435,758x = 943,900 × 943,900
  4. Step 4: Simplify right side
    435,758x = 890,947,210,000
  5. Step 5: Solve for x
    x = 890,947,210,000/435,758
  6. Step 6: Final answer
    x = 2,044,591.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.