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Finding the Third Proportional to 1,057,194 and 1,610,577

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Solution

The third proportional to 1,057,194 and 1,610,577 is: 2,453,625.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057,194 : 1,610,577 = 1,610,577 : x
  2. Step 2: Convert to fraction form
    1,057,194/1,610,577 = 1,610,577/x
  3. Step 3: Cross multiply
    1,057,194x = 1,610,577 × 1,610,577
  4. Step 4: Simplify right side
    1,057,194x = 2,593,958,272,929
  5. Step 5: Solve for x
    x = 2,593,958,272,929/1,057,194
  6. Step 6: Final answer
    x = 2,453,625.61

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.