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Finding the Third Proportional to 649,761 and 1,004,154

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Solution

The third proportional to 649,761 and 1,004,154 is: 1,551,840.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,761 : 1,004,154 = 1,004,154 : x
  2. Step 2: Convert to fraction form
    649,761/1,004,154 = 1,004,154/x
  3. Step 3: Cross multiply
    649,761x = 1,004,154 × 1,004,154
  4. Step 4: Simplify right side
    649,761x = 1,008,325,255,716
  5. Step 5: Solve for x
    x = 1,008,325,255,716/649,761
  6. Step 6: Final answer
    x = 1,551,840.22

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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.