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Finding the Third Proportional to 662,286 and 1,049,157

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Solution

The third proportional to 662,286 and 1,049,157 is: 1,662,016.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,286 : 1,049,157 = 1,049,157 : x
  2. Step 2: Convert to fraction form
    662,286/1,049,157 = 1,049,157/x
  3. Step 3: Cross multiply
    662,286x = 1,049,157 × 1,049,157
  4. Step 4: Simplify right side
    662,286x = 1,100,730,410,649
  5. Step 5: Solve for x
    x = 1,100,730,410,649/662,286
  6. Step 6: Final answer
    x = 1,662,016.73

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.