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Finding the Third Proportional to 805,793 and 1,208,690

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Solution

The third proportional to 805,793 and 1,208,690 is: 1,813,035.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    805,793 : 1,208,690 = 1,208,690 : x
  2. Step 2: Convert to fraction form
    805,793/1,208,690 = 1,208,690/x
  3. Step 3: Cross multiply
    805,793x = 1,208,690 × 1,208,690
  4. Step 4: Simplify right side
    805,793x = 1,460,931,516,100
  5. Step 5: Solve for x
    x = 1,460,931,516,100/805,793
  6. Step 6: Final answer
    x = 1,813,035.75

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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.