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Finding the Third Proportional to 765,328 and 1,681,568

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Solution

The third proportional to 765,328 and 1,681,568 is: 3,694,717.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,328 : 1,681,568 = 1,681,568 : x
  2. Step 2: Convert to fraction form
    765,328/1,681,568 = 1,681,568/x
  3. Step 3: Cross multiply
    765,328x = 1,681,568 × 1,681,568
  4. Step 4: Simplify right side
    765,328x = 2,827,670,938,624
  5. Step 5: Solve for x
    x = 2,827,670,938,624/765,328
  6. Step 6: Final answer
    x = 3,694,717.74

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.