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Finding the Third Proportional to 2,145,726 and 4,466,025

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Solution

The third proportional to 2,145,726 and 4,466,025 is: 9,295,398.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145,726 : 4,466,025 = 4,466,025 : x
  2. Step 2: Convert to fraction form
    2,145,726/4,466,025 = 4,466,025/x
  3. Step 3: Cross multiply
    2,145,726x = 4,466,025 × 4,466,025
  4. Step 4: Simplify right side
    2,145,726x = 19,945,379,300,625
  5. Step 5: Solve for x
    x = 19,945,379,300,625/2,145,726
  6. Step 6: Final answer
    x = 9,295,398.99

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.