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Finding the Third Proportional to 932,206.50 and 1,410,912

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Solution

The third proportional to 932,206.50 and 1,410,912 is: 2,135,441.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    932,206.50 : 1,410,912 = 1,410,912 : x
  2. Step 2: Convert to fraction form
    932,206.50/1,410,912 = 1,410,912/x
  3. Step 3: Cross multiply
    932,206.50x = 1,410,912 × 1,410,912
  4. Step 4: Simplify right side
    932,206.50x = 1,990,672,671,744
  5. Step 5: Solve for x
    x = 1,990,672,671,744/932,206.50
  6. Step 6: Final answer
    x = 2,135,441.74

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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.