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Finding the Third Proportional to 1,617,120 and 2,536,761

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Solution

The third proportional to 1,617,120 and 2,536,761 is: 3,979,393.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617,120 : 2,536,761 = 2,536,761 : x
  2. Step 2: Convert to fraction form
    1,617,120/2,536,761 = 2,536,761/x
  3. Step 3: Cross multiply
    1,617,120x = 2,536,761 × 2,536,761
  4. Step 4: Simplify right side
    1,617,120x = 6,435,156,371,121
  5. Step 5: Solve for x
    x = 6,435,156,371,121/1,617,120
  6. Step 6: Final answer
    x = 3,979,393.22

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.