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Finding the Third Proportional to 820,951.50 and 1,796,527.50

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Solution

The third proportional to 820,951.50 and 1,796,527.50 is: 3,931,427.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,951.50 : 1,796,527.50 = 1,796,527.50 : x
  2. Step 2: Convert to fraction form
    820,951.50/1,796,527.50 = 1,796,527.50/x
  3. Step 3: Cross multiply
    820,951.50x = 1,796,527.50 × 1,796,527.50
  4. Step 4: Simplify right side
    820,951.50x = 3,227,511,058,256.25
  5. Step 5: Solve for x
    x = 3,227,511,058,256.25/820,951.50
  6. Step 6: Final answer
    x = 3,931,427.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.