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Finding the Third Proportional to 838,234.50 and 1,715,205

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Solution

The third proportional to 838,234.50 and 1,715,205 is: 3,509,672.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,234.50 : 1,715,205 = 1,715,205 : x
  2. Step 2: Convert to fraction form
    838,234.50/1,715,205 = 1,715,205/x
  3. Step 3: Cross multiply
    838,234.50x = 1,715,205 × 1,715,205
  4. Step 4: Simplify right side
    838,234.50x = 2,941,928,192,025
  5. Step 5: Solve for x
    x = 2,941,928,192,025/838,234.50
  6. Step 6: Final answer
    x = 3,509,672.05

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.