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Finding the Third Proportional to 501,446 and 1,058,242

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Solution

The third proportional to 501,446 and 1,058,242 is: 2,233,293.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,446 : 1,058,242 = 1,058,242 : x
  2. Step 2: Convert to fraction form
    501,446/1,058,242 = 1,058,242/x
  3. Step 3: Cross multiply
    501,446x = 1,058,242 × 1,058,242
  4. Step 4: Simplify right side
    501,446x = 1,119,876,130,564
  5. Step 5: Solve for x
    x = 1,119,876,130,564/501,446
  6. Step 6: Final answer
    x = 2,233,293.58

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.