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Finding the Third Proportional to 1,709,334 and 3,647,457

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Solution

The third proportional to 1,709,334 and 3,647,457 is: 7,783,114.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709,334 : 3,647,457 = 3,647,457 : x
  2. Step 2: Convert to fraction form
    1,709,334/3,647,457 = 3,647,457/x
  3. Step 3: Cross multiply
    1,709,334x = 3,647,457 × 3,647,457
  4. Step 4: Simplify right side
    1,709,334x = 13,303,942,566,849
  5. Step 5: Solve for x
    x = 13,303,942,566,849/1,709,334
  6. Step 6: Final answer
    x = 7,783,114.69

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.