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Finding the Third Proportional to 1,684,529 and 3,664,206

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Solution

The third proportional to 1,684,529 and 3,664,206 is: 7,970,421.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684,529 : 3,664,206 = 3,664,206 : x
  2. Step 2: Convert to fraction form
    1,684,529/3,664,206 = 3,664,206/x
  3. Step 3: Cross multiply
    1,684,529x = 3,664,206 × 3,664,206
  4. Step 4: Simplify right side
    1,684,529x = 13,426,405,610,436
  5. Step 5: Solve for x
    x = 13,426,405,610,436/1,684,529
  6. Step 6: Final answer
    x = 7,970,421.17

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.