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Finding the Third Proportional to 2,048,900.06 and 3,006,919.97

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Solution

The third proportional to 2,048,900.06 and 3,006,919.97 is: 4,412,888.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048,900.06 : 3,006,919.97 = 3,006,919.97 : x
  2. Step 2: Convert to fraction form
    2,048,900.06/3,006,919.97 = 3,006,919.97/x
  3. Step 3: Cross multiply
    2,048,900.06x = 3,006,919.97 × 3,006,919.97
  4. Step 4: Simplify right side
    2,048,900.06x = 9,041,567,698,467.50
  5. Step 5: Solve for x
    x = 9,041,567,698,467.50/2,048,900.06
  6. Step 6: Final answer
    x = 4,412,888.59

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.