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Finding the Third Proportional to 864,424 and 1,268,611

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Solution

The third proportional to 864,424 and 1,268,611 is: 1,861,787.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,424 : 1,268,611 = 1,268,611 : x
  2. Step 2: Convert to fraction form
    864,424/1,268,611 = 1,268,611/x
  3. Step 3: Cross multiply
    864,424x = 1,268,611 × 1,268,611
  4. Step 4: Simplify right side
    864,424x = 1,609,373,869,321
  5. Step 5: Solve for x
    x = 1,609,373,869,321/864,424
  6. Step 6: Final answer
    x = 1,861,787.58

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.