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Finding the Third Proportional to 1,927,592.50 and 4,072,193

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Solution

The third proportional to 1,927,592.50 and 4,072,193 is: 8,602,832.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,927,592.50 : 4,072,193 = 4,072,193 : x
  2. Step 2: Convert to fraction form
    1,927,592.50/4,072,193 = 4,072,193/x
  3. Step 3: Cross multiply
    1,927,592.50x = 4,072,193 × 4,072,193
  4. Step 4: Simplify right side
    1,927,592.50x = 16,582,755,829,249
  5. Step 5: Solve for x
    x = 16,582,755,829,249/1,927,592.50
  6. Step 6: Final answer
    x = 8,602,832.72

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.