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Finding the Third Proportional to 1,237,494 and 1,969,115

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Solution

The third proportional to 1,237,494 and 1,969,115 is: 3,133,278.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237,494 : 1,969,115 = 1,969,115 : x
  2. Step 2: Convert to fraction form
    1,237,494/1,969,115 = 1,969,115/x
  3. Step 3: Cross multiply
    1,237,494x = 1,969,115 × 1,969,115
  4. Step 4: Simplify right side
    1,237,494x = 3,877,413,883,225
  5. Step 5: Solve for x
    x = 3,877,413,883,225/1,237,494
  6. Step 6: Final answer
    x = 3,133,278.94

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.