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Finding the Third Proportional to 649,772 and 1,019,532

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Solution

The third proportional to 649,772 and 1,019,532 is: 1,599,708.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,772 : 1,019,532 = 1,019,532 : x
  2. Step 2: Convert to fraction form
    649,772/1,019,532 = 1,019,532/x
  3. Step 3: Cross multiply
    649,772x = 1,019,532 × 1,019,532
  4. Step 4: Simplify right side
    649,772x = 1,039,445,499,024
  5. Step 5: Solve for x
    x = 1,039,445,499,024/649,772
  6. Step 6: Final answer
    x = 1,599,708.05

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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.