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Finding the Third Proportional to 2,709,725 and 3,962,857

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Solution

The third proportional to 2,709,725 and 3,962,857 is: 5,795,508.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709,725 : 3,962,857 = 3,962,857 : x
  2. Step 2: Convert to fraction form
    2,709,725/3,962,857 = 3,962,857/x
  3. Step 3: Cross multiply
    2,709,725x = 3,962,857 × 3,962,857
  4. Step 4: Simplify right side
    2,709,725x = 15,704,235,602,449
  5. Step 5: Solve for x
    x = 15,704,235,602,449/2,709,725
  6. Step 6: Final answer
    x = 5,795,508.99

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.