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Finding the Third Proportional to 649,674 and 1,019,385

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Solution

The third proportional to 649,674 and 1,019,385 is: 1,599,488.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,674 : 1,019,385 = 1,019,385 : x
  2. Step 2: Convert to fraction form
    649,674/1,019,385 = 1,019,385/x
  3. Step 3: Cross multiply
    649,674x = 1,019,385 × 1,019,385
  4. Step 4: Simplify right side
    649,674x = 1,039,145,778,225
  5. Step 5: Solve for x
    x = 1,039,145,778,225/649,674
  6. Step 6: Final answer
    x = 1,599,488.02

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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.