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Finding the Third Proportional to 2,140,625 and 2,935,374

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Solution

The third proportional to 2,140,625 and 2,935,374 is: 4,025,189.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140,625 : 2,935,374 = 2,935,374 : x
  2. Step 2: Convert to fraction form
    2,140,625/2,935,374 = 2,935,374/x
  3. Step 3: Cross multiply
    2,140,625x = 2,935,374 × 2,935,374
  4. Step 4: Simplify right side
    2,140,625x = 8,616,420,519,876
  5. Step 5: Solve for x
    x = 8,616,420,519,876/2,140,625
  6. Step 6: Final answer
    x = 4,025,189.15

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.