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Finding the Third Proportional to 509,845.50 and 1,072,179

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Solution

The third proportional to 509,845.50 and 1,072,179 is: 2,254,737.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,845.50 : 1,072,179 = 1,072,179 : x
  2. Step 2: Convert to fraction form
    509,845.50/1,072,179 = 1,072,179/x
  3. Step 3: Cross multiply
    509,845.50x = 1,072,179 × 1,072,179
  4. Step 4: Simplify right side
    509,845.50x = 1,149,567,808,041
  5. Step 5: Solve for x
    x = 1,149,567,808,041/509,845.50
  6. Step 6: Final answer
    x = 2,254,737.58

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.