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Finding the Third Proportional to 1,585,812 and 2,415,891

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Solution

The third proportional to 1,585,812 and 2,415,891 is: 3,680,467.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585,812 : 2,415,891 = 2,415,891 : x
  2. Step 2: Convert to fraction form
    1,585,812/2,415,891 = 2,415,891/x
  3. Step 3: Cross multiply
    1,585,812x = 2,415,891 × 2,415,891
  4. Step 4: Simplify right side
    1,585,812x = 5,836,529,323,881
  5. Step 5: Solve for x
    x = 5,836,529,323,881/1,585,812
  6. Step 6: Final answer
    x = 3,680,467.37

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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.