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Finding the Third Proportional to 2,019,753 and 3,034,813.50

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Solution

The third proportional to 2,019,753 and 3,034,813.50 is: 4,560,009.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019,753 : 3,034,813.50 = 3,034,813.50 : x
  2. Step 2: Convert to fraction form
    2,019,753/3,034,813.50 = 3,034,813.50/x
  3. Step 3: Cross multiply
    2,019,753x = 3,034,813.50 × 3,034,813.50
  4. Step 4: Simplify right side
    2,019,753x = 9,210,092,979,782.25
  5. Step 5: Solve for x
    x = 9,210,092,979,782.25/2,019,753
  6. Step 6: Final answer
    x = 4,560,009.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.