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Finding the Third Proportional to 831,584 and 1,339,248

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Solution

The third proportional to 831,584 and 1,339,248 is: 2,156,829.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,584 : 1,339,248 = 1,339,248 : x
  2. Step 2: Convert to fraction form
    831,584/1,339,248 = 1,339,248/x
  3. Step 3: Cross multiply
    831,584x = 1,339,248 × 1,339,248
  4. Step 4: Simplify right side
    831,584x = 1,793,585,205,504
  5. Step 5: Solve for x
    x = 1,793,585,205,504/831,584
  6. Step 6: Final answer
    x = 2,156,829.86

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.