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Finding the Third Proportional to 1,682,283.94 and 3,690,235.13

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Solution

The third proportional to 1,682,283.94 and 3,690,235.13 is: 8,094,849.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682,283.94 : 3,690,235.13 = 3,690,235.13 : x
  2. Step 2: Convert to fraction form
    1,682,283.94/3,690,235.13 = 3,690,235.13/x
  3. Step 3: Cross multiply
    1,682,283.94x = 3,690,235.13 × 3,690,235.13
  4. Step 4: Simplify right side
    1,682,283.94x = 13,617,835,277,783.77
  5. Step 5: Solve for x
    x = 13,617,835,277,783.77/1,682,283.94
  6. Step 6: Final answer
    x = 8,094,849.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.