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Finding the Third Proportional to 653,825.50 and 1,410,865

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Solution

The third proportional to 653,825.50 and 1,410,865 is: 3,044,451.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,825.50 : 1,410,865 = 1,410,865 : x
  2. Step 2: Convert to fraction form
    653,825.50/1,410,865 = 1,410,865/x
  3. Step 3: Cross multiply
    653,825.50x = 1,410,865 × 1,410,865
  4. Step 4: Simplify right side
    653,825.50x = 1,990,540,048,225
  5. Step 5: Solve for x
    x = 1,990,540,048,225/653,825.50
  6. Step 6: Final answer
    x = 3,044,451.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.