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Finding the Third Proportional to 1,535,722.50 and 3,306,912

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Solution

The third proportional to 1,535,722.50 and 3,306,912 is: 7,120,861.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535,722.50 : 3,306,912 = 3,306,912 : x
  2. Step 2: Convert to fraction form
    1,535,722.50/3,306,912 = 3,306,912/x
  3. Step 3: Cross multiply
    1,535,722.50x = 3,306,912 × 3,306,912
  4. Step 4: Simplify right side
    1,535,722.50x = 10,935,666,975,744
  5. Step 5: Solve for x
    x = 10,935,666,975,744/1,535,722.50
  6. Step 6: Final answer
    x = 7,120,861.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.