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Finding the Third Proportional to 831,536 and 1,339,176

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Solution

The third proportional to 831,536 and 1,339,176 is: 2,156,722.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,536 : 1,339,176 = 1,339,176 : x
  2. Step 2: Convert to fraction form
    831,536/1,339,176 = 1,339,176/x
  3. Step 3: Cross multiply
    831,536x = 1,339,176 × 1,339,176
  4. Step 4: Simplify right side
    831,536x = 1,793,392,358,976
  5. Step 5: Solve for x
    x = 1,793,392,358,976/831,536
  6. Step 6: Final answer
    x = 2,156,722.45

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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.