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Finding the Third Proportional to 435,519 and 910,939

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Solution

The third proportional to 435,519 and 910,939 is: 1,905,335.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,519 : 910,939 = 910,939 : x
  2. Step 2: Convert to fraction form
    435,519/910,939 = 910,939/x
  3. Step 3: Cross multiply
    435,519x = 910,939 × 910,939
  4. Step 4: Simplify right side
    435,519x = 829,809,861,721
  5. Step 5: Solve for x
    x = 829,809,861,721/435,519
  6. Step 6: Final answer
    x = 1,905,335.62

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.