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Finding the Third Proportional to 792,996 and 1,715,025

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Solution

The third proportional to 792,996 and 1,715,025 is: 3,709,111.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    792,996 : 1,715,025 = 1,715,025 : x
  2. Step 2: Convert to fraction form
    792,996/1,715,025 = 1,715,025/x
  3. Step 3: Cross multiply
    792,996x = 1,715,025 × 1,715,025
  4. Step 4: Simplify right side
    792,996x = 2,941,310,750,625
  5. Step 5: Solve for x
    x = 2,941,310,750,625/792,996
  6. Step 6: Final answer
    x = 3,709,111.71

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.