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Finding the Third Proportional to 831,854 and 1,339,265

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Solution

The third proportional to 831,854 and 1,339,265 is: 2,156,184.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,854 : 1,339,265 = 1,339,265 : x
  2. Step 2: Convert to fraction form
    831,854/1,339,265 = 1,339,265/x
  3. Step 3: Cross multiply
    831,854x = 1,339,265 × 1,339,265
  4. Step 4: Simplify right side
    831,854x = 1,793,630,740,225
  5. Step 5: Solve for x
    x = 1,793,630,740,225/831,854
  6. Step 6: Final answer
    x = 2,156,184.55

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Why These Related Problems?

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