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Finding the Third Proportional to 494,886 and 1,059,756

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Solution

The third proportional to 494,886 and 1,059,756 is: 2,269,376.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,886 : 1,059,756 = 1,059,756 : x
  2. Step 2: Convert to fraction form
    494,886/1,059,756 = 1,059,756/x
  3. Step 3: Cross multiply
    494,886x = 1,059,756 × 1,059,756
  4. Step 4: Simplify right side
    494,886x = 1,123,082,779,536
  5. Step 5: Solve for x
    x = 1,123,082,779,536/494,886
  6. Step 6: Final answer
    x = 2,269,376.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.