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Finding the Third Proportional to 2,036,398.50 and 3,019,371.75

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Solution

The third proportional to 2,036,398.50 and 3,019,371.75 is: 4,476,827.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036,398.50 : 3,019,371.75 = 3,019,371.75 : x
  2. Step 2: Convert to fraction form
    2,036,398.50/3,019,371.75 = 3,019,371.75/x
  3. Step 3: Cross multiply
    2,036,398.50x = 3,019,371.75 × 3,019,371.75
  4. Step 4: Simplify right side
    2,036,398.50x = 9,116,605,764,698.06
  5. Step 5: Solve for x
    x = 9,116,605,764,698.06/2,036,398.50
  6. Step 6: Final answer
    x = 4,476,827.97

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.