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Finding the Third Proportional to 941,025 and 2,058,951

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Solution

The third proportional to 941,025 and 2,058,951 is: 4,504,959.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    941,025 : 2,058,951 = 2,058,951 : x
  2. Step 2: Convert to fraction form
    941,025/2,058,951 = 2,058,951/x
  3. Step 3: Cross multiply
    941,025x = 2,058,951 × 2,058,951
  4. Step 4: Simplify right side
    941,025x = 4,239,279,220,401
  5. Step 5: Solve for x
    x = 4,239,279,220,401/941,025
  6. Step 6: Final answer
    x = 4,504,959.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.