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Finding the Third Proportional to 1,405,922.06 and 2,128,604.06

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Solution

The third proportional to 1,405,922.06 and 2,128,604.06 is: 3,222,764.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405,922.06 : 2,128,604.06 = 2,128,604.06 : x
  2. Step 2: Convert to fraction form
    1,405,922.06/2,128,604.06 = 2,128,604.06/x
  3. Step 3: Cross multiply
    1,405,922.06x = 2,128,604.06 × 2,128,604.06
  4. Step 4: Simplify right side
    1,405,922.06x = 4,530,955,254,891.50
  5. Step 5: Solve for x
    x = 4,530,955,254,891.50/1,405,922.06
  6. Step 6: Final answer
    x = 3,222,764.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.