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Finding the Third Proportional to 997,717.50 and 2,194,816.50

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Solution

The third proportional to 997,717.50 and 2,194,816.50 is: 4,828,239.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,717.50 : 2,194,816.50 = 2,194,816.50 : x
  2. Step 2: Convert to fraction form
    997,717.50/2,194,816.50 = 2,194,816.50/x
  3. Step 3: Cross multiply
    997,717.50x = 2,194,816.50 × 2,194,816.50
  4. Step 4: Simplify right side
    997,717.50x = 4,817,219,468,672.25
  5. Step 5: Solve for x
    x = 4,817,219,468,672.25/997,717.50
  6. Step 6: Final answer
    x = 4,828,239.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.