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Finding the Third Proportional to 493,611 and 1,049,503.50

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Solution

The third proportional to 493,611 and 1,049,503.50 is: 2,231,428.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,611 : 1,049,503.50 = 1,049,503.50 : x
  2. Step 2: Convert to fraction form
    493,611/1,049,503.50 = 1,049,503.50/x
  3. Step 3: Cross multiply
    493,611x = 1,049,503.50 × 1,049,503.50
  4. Step 4: Simplify right side
    493,611x = 1,101,457,596,512.25
  5. Step 5: Solve for x
    x = 1,101,457,596,512.25/493,611
  6. Step 6: Final answer
    x = 2,231,428.38

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.