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Finding the Third Proportional to 746,708 and 1,638,568

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Solution

The third proportional to 746,708 and 1,638,568 is: 3,595,655.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,708 : 1,638,568 = 1,638,568 : x
  2. Step 2: Convert to fraction form
    746,708/1,638,568 = 1,638,568/x
  3. Step 3: Cross multiply
    746,708x = 1,638,568 × 1,638,568
  4. Step 4: Simplify right side
    746,708x = 2,684,905,090,624
  5. Step 5: Solve for x
    x = 2,684,905,090,624/746,708
  6. Step 6: Final answer
    x = 3,595,655.99

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.