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Finding the Third Proportional to 3,769,584 and 8,230,457

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Solution

The third proportional to 3,769,584 and 8,230,457 is: 17,970,264.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,769,584 : 8,230,457 = 8,230,457 : x
  2. Step 2: Convert to fraction form
    3,769,584/8,230,457 = 8,230,457/x
  3. Step 3: Cross multiply
    3,769,584x = 8,230,457 × 8,230,457
  4. Step 4: Simplify right side
    3,769,584x = 67,740,422,428,849
  5. Step 5: Solve for x
    x = 67,740,422,428,849/3,769,584
  6. Step 6: Final answer
    x = 17,970,264.74

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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.