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Finding the Third Proportional to 807,633.50 and 1,267,115

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Solution

The third proportional to 807,633.50 and 1,267,115 is: 1,988,006.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,633.50 : 1,267,115 = 1,267,115 : x
  2. Step 2: Convert to fraction form
    807,633.50/1,267,115 = 1,267,115/x
  3. Step 3: Cross multiply
    807,633.50x = 1,267,115 × 1,267,115
  4. Step 4: Simplify right side
    807,633.50x = 1,605,580,423,225
  5. Step 5: Solve for x
    x = 1,605,580,423,225/807,633.50
  6. Step 6: Final answer
    x = 1,988,006.22

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.