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Finding the Third Proportional to 503,913.50 and 1,096,401

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Solution

The third proportional to 503,913.50 and 1,096,401 is: 2,385,518.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,913.50 : 1,096,401 = 1,096,401 : x
  2. Step 2: Convert to fraction form
    503,913.50/1,096,401 = 1,096,401/x
  3. Step 3: Cross multiply
    503,913.50x = 1,096,401 × 1,096,401
  4. Step 4: Simplify right side
    503,913.50x = 1,202,095,152,801
  5. Step 5: Solve for x
    x = 1,202,095,152,801/503,913.50
  6. Step 6: Final answer
    x = 2,385,518.85

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