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Finding the Third Proportional to 675,690 and 1,468,989

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Solution

The third proportional to 675,690 and 1,468,989 is: 3,193,666.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,690 : 1,468,989 = 1,468,989 : x
  2. Step 2: Convert to fraction form
    675,690/1,468,989 = 1,468,989/x
  3. Step 3: Cross multiply
    675,690x = 1,468,989 × 1,468,989
  4. Step 4: Simplify right side
    675,690x = 2,157,928,682,121
  5. Step 5: Solve for x
    x = 2,157,928,682,121/675,690
  6. Step 6: Final answer
    x = 3,193,666.74

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.