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Finding the Third Proportional to 920,922.75 and 1,420,750.13

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Solution

The third proportional to 920,922.75 and 1,420,750.13 is: 2,191,856.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    920,922.75 : 1,420,750.13 = 1,420,750.13 : x
  2. Step 2: Convert to fraction form
    920,922.75/1,420,750.13 = 1,420,750.13/x
  3. Step 3: Cross multiply
    920,922.75x = 1,420,750.13 × 1,420,750.13
  4. Step 4: Simplify right side
    920,922.75x = 2,018,530,917,687.52
  5. Step 5: Solve for x
    x = 2,018,530,917,687.52/920,922.75
  6. Step 6: Final answer
    x = 2,191,856.94

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.