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Finding the Third Proportional to 649,766 and 1,004,160

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Solution

The third proportional to 649,766 and 1,004,160 is: 1,551,846.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,766 : 1,004,160 = 1,004,160 : x
  2. Step 2: Convert to fraction form
    649,766/1,004,160 = 1,004,160/x
  3. Step 3: Cross multiply
    649,766x = 1,004,160 × 1,004,160
  4. Step 4: Simplify right side
    649,766x = 1,008,337,305,600
  5. Step 5: Solve for x
    x = 1,008,337,305,600/649,766
  6. Step 6: Final answer
    x = 1,551,846.83

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.