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Finding the Third Proportional to 490,377 and 1,058,165

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Solution

The third proportional to 490,377 and 1,058,165 is: 2,283,372.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,377 : 1,058,165 = 1,058,165 : x
  2. Step 2: Convert to fraction form
    490,377/1,058,165 = 1,058,165/x
  3. Step 3: Cross multiply
    490,377x = 1,058,165 × 1,058,165
  4. Step 4: Simplify right side
    490,377x = 1,119,713,167,225
  5. Step 5: Solve for x
    x = 1,119,713,167,225/490,377
  6. Step 6: Final answer
    x = 2,283,372.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.