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Finding the Third Proportional to 1,625,864 and 3,739,412

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Solution

The third proportional to 1,625,864 and 3,739,412 is: 8,600,474.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,625,864 : 3,739,412 = 3,739,412 : x
  2. Step 2: Convert to fraction form
    1,625,864/3,739,412 = 3,739,412/x
  3. Step 3: Cross multiply
    1,625,864x = 3,739,412 × 3,739,412
  4. Step 4: Simplify right side
    1,625,864x = 13,983,202,105,744
  5. Step 5: Solve for x
    x = 13,983,202,105,744/1,625,864
  6. Step 6: Final answer
    x = 8,600,474.64

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.