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Finding the Third Proportional to 1,830,731.63 and 3,828,768.75

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Solution

The third proportional to 1,830,731.63 and 3,828,768.75 is: 8,007,438.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830,731.63 : 3,828,768.75 = 3,828,768.75 : x
  2. Step 2: Convert to fraction form
    1,830,731.63/3,828,768.75 = 3,828,768.75/x
  3. Step 3: Cross multiply
    1,830,731.63x = 3,828,768.75 × 3,828,768.75
  4. Step 4: Simplify right side
    1,830,731.63x = 14,659,470,140,976.56
  5. Step 5: Solve for x
    x = 14,659,470,140,976.56/1,830,731.63
  6. Step 6: Final answer
    x = 8,007,438.09

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.