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Finding the Third Proportional to 649,774 and 1,019,535

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Solution

The third proportional to 649,774 and 1,019,535 is: 1,599,712.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,774 : 1,019,535 = 1,019,535 : x
  2. Step 2: Convert to fraction form
    649,774/1,019,535 = 1,019,535/x
  3. Step 3: Cross multiply
    649,774x = 1,019,535 × 1,019,535
  4. Step 4: Simplify right side
    649,774x = 1,039,451,616,225
  5. Step 5: Solve for x
    x = 1,039,451,616,225/649,774
  6. Step 6: Final answer
    x = 1,599,712.54

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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.