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Finding the Third Proportional to 963,870 and 2,093,903

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Solution

The third proportional to 963,870 and 2,093,903 is: 4,548,777.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    963,870 : 2,093,903 = 2,093,903 : x
  2. Step 2: Convert to fraction form
    963,870/2,093,903 = 2,093,903/x
  3. Step 3: Cross multiply
    963,870x = 2,093,903 × 2,093,903
  4. Step 4: Simplify right side
    963,870x = 4,384,429,773,409
  5. Step 5: Solve for x
    x = 4,384,429,773,409/963,870
  6. Step 6: Final answer
    x = 4,548,777.09

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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.