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Finding the Third Proportional to 1,204,812 and 2,569,752

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Solution

The third proportional to 1,204,812 and 2,569,752 is: 5,481,042.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204,812 : 2,569,752 = 2,569,752 : x
  2. Step 2: Convert to fraction form
    1,204,812/2,569,752 = 2,569,752/x
  3. Step 3: Cross multiply
    1,204,812x = 2,569,752 × 2,569,752
  4. Step 4: Simplify right side
    1,204,812x = 6,603,625,341,504
  5. Step 5: Solve for x
    x = 6,603,625,341,504/1,204,812
  6. Step 6: Final answer
    x = 5,481,042.14

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.