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Finding the Third Proportional to 785,887.50 and 1,183,422

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Solution

The third proportional to 785,887.50 and 1,183,422 is: 1,782,045.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,887.50 : 1,183,422 = 1,183,422 : x
  2. Step 2: Convert to fraction form
    785,887.50/1,183,422 = 1,183,422/x
  3. Step 3: Cross multiply
    785,887.50x = 1,183,422 × 1,183,422
  4. Step 4: Simplify right side
    785,887.50x = 1,400,487,630,084
  5. Step 5: Solve for x
    x = 1,400,487,630,084/785,887.50
  6. Step 6: Final answer
    x = 1,782,045.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.