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Finding the Third Proportional to 1,538,058 and 3,365,577

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Solution

The third proportional to 1,538,058 and 3,365,577 is: 7,364,552.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538,058 : 3,365,577 = 3,365,577 : x
  2. Step 2: Convert to fraction form
    1,538,058/3,365,577 = 3,365,577/x
  3. Step 3: Cross multiply
    1,538,058x = 3,365,577 × 3,365,577
  4. Step 4: Simplify right side
    1,538,058x = 11,327,108,542,929
  5. Step 5: Solve for x
    x = 11,327,108,542,929/1,538,058
  6. Step 6: Final answer
    x = 7,364,552.27

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