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Finding the Third Proportional to 876,192 and 1,318,176

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Solution

The third proportional to 876,192 and 1,318,176 is: 1,983,113.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    876,192 : 1,318,176 = 1,318,176 : x
  2. Step 2: Convert to fraction form
    876,192/1,318,176 = 1,318,176/x
  3. Step 3: Cross multiply
    876,192x = 1,318,176 × 1,318,176
  4. Step 4: Simplify right side
    876,192x = 1,737,587,966,976
  5. Step 5: Solve for x
    x = 1,737,587,966,976/876,192
  6. Step 6: Final answer
    x = 1,983,113.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.