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Finding the Third Proportional to 1,289,154 and 2,684,168

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Solution

The third proportional to 1,289,154 and 2,684,168 is: 5,588,748.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289,154 : 2,684,168 = 2,684,168 : x
  2. Step 2: Convert to fraction form
    1,289,154/2,684,168 = 2,684,168/x
  3. Step 3: Cross multiply
    1,289,154x = 2,684,168 × 2,684,168
  4. Step 4: Simplify right side
    1,289,154x = 7,204,757,852,224
  5. Step 5: Solve for x
    x = 7,204,757,852,224/1,289,154
  6. Step 6: Final answer
    x = 5,588,748.79

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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.