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Finding the Third Proportional to 649,093.50 and 1,416,285

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Solution

The third proportional to 649,093.50 and 1,416,285 is: 3,090,253.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,093.50 : 1,416,285 = 1,416,285 : x
  2. Step 2: Convert to fraction form
    649,093.50/1,416,285 = 1,416,285/x
  3. Step 3: Cross multiply
    649,093.50x = 1,416,285 × 1,416,285
  4. Step 4: Simplify right side
    649,093.50x = 2,005,863,201,225
  5. Step 5: Solve for x
    x = 2,005,863,201,225/649,093.50
  6. Step 6: Final answer
    x = 3,090,253.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.