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Finding the Third Proportional to 922,809 and 1,444,695

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Solution

The third proportional to 922,809 and 1,444,695 is: 2,261,728.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    922,809 : 1,444,695 = 1,444,695 : x
  2. Step 2: Convert to fraction form
    922,809/1,444,695 = 1,444,695/x
  3. Step 3: Cross multiply
    922,809x = 1,444,695 × 1,444,695
  4. Step 4: Simplify right side
    922,809x = 2,087,143,643,025
  5. Step 5: Solve for x
    x = 2,087,143,643,025/922,809
  6. Step 6: Final answer
    x = 2,261,728.75

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.