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Finding the Third Proportional to 1,533,132 and 2,083,025

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Solution

The third proportional to 1,533,132 and 2,083,025 is: 2,830,149.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533,132 : 2,083,025 = 2,083,025 : x
  2. Step 2: Convert to fraction form
    1,533,132/2,083,025 = 2,083,025/x
  3. Step 3: Cross multiply
    1,533,132x = 2,083,025 × 2,083,025
  4. Step 4: Simplify right side
    1,533,132x = 4,338,993,150,625
  5. Step 5: Solve for x
    x = 4,338,993,150,625/1,533,132
  6. Step 6: Final answer
    x = 2,830,149.75

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.