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Finding the Third Proportional to 1,025,109 and 1,629,213

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Solution

The third proportional to 1,025,109 and 1,629,213 is: 2,589,319.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025,109 : 1,629,213 = 1,629,213 : x
  2. Step 2: Convert to fraction form
    1,025,109/1,629,213 = 1,629,213/x
  3. Step 3: Cross multiply
    1,025,109x = 1,629,213 × 1,629,213
  4. Step 4: Simplify right side
    1,025,109x = 2,654,334,999,369
  5. Step 5: Solve for x
    x = 2,654,334,999,369/1,025,109
  6. Step 6: Final answer
    x = 2,589,319.77

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.