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Finding the Third Proportional to 1,524,946.50 and 3,300,949.97

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Solution

The third proportional to 1,524,946.50 and 3,300,949.97 is: 7,145,346.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524,946.50 : 3,300,949.97 = 3,300,949.97 : x
  2. Step 2: Convert to fraction form
    1,524,946.50/3,300,949.97 = 3,300,949.97/x
  3. Step 3: Cross multiply
    1,524,946.50x = 3,300,949.97 × 3,300,949.97
  4. Step 4: Simplify right side
    1,524,946.50x = 10,896,270,696,190.62
  5. Step 5: Solve for x
    x = 10,896,270,696,190.62/1,524,946.50
  6. Step 6: Final answer
    x = 7,145,346.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.