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Finding the Third Proportional to 840,174 and 1,275,795

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Solution

The third proportional to 840,174 and 1,275,795 is: 1,937,280.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,174 : 1,275,795 = 1,275,795 : x
  2. Step 2: Convert to fraction form
    840,174/1,275,795 = 1,275,795/x
  3. Step 3: Cross multiply
    840,174x = 1,275,795 × 1,275,795
  4. Step 4: Simplify right side
    840,174x = 1,627,652,882,025
  5. Step 5: Solve for x
    x = 1,627,652,882,025/840,174
  6. Step 6: Final answer
    x = 1,937,280.71

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.