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Finding the Third Proportional to 921,846 and 1,382,793

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Solution

The third proportional to 921,846 and 1,382,793 is: 2,074,225.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    921,846 : 1,382,793 = 1,382,793 : x
  2. Step 2: Convert to fraction form
    921,846/1,382,793 = 1,382,793/x
  3. Step 3: Cross multiply
    921,846x = 1,382,793 × 1,382,793
  4. Step 4: Simplify right side
    921,846x = 1,912,116,480,849
  5. Step 5: Solve for x
    x = 1,912,116,480,849/921,846
  6. Step 6: Final answer
    x = 2,074,225.50

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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.