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Finding the Third Proportional to 835,515 and 1,783,781

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Solution

The third proportional to 835,515 and 1,783,781 is: 3,808,279.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    835,515 : 1,783,781 = 1,783,781 : x
  2. Step 2: Convert to fraction form
    835,515/1,783,781 = 1,783,781/x
  3. Step 3: Cross multiply
    835,515x = 1,783,781 × 1,783,781
  4. Step 4: Simplify right side
    835,515x = 3,181,874,655,961
  5. Step 5: Solve for x
    x = 3,181,874,655,961/835,515
  6. Step 6: Final answer
    x = 3,808,279.51

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.