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Finding the Third Proportional to 492,006.66 and 1,042,515.56

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Solution

The third proportional to 492,006.66 and 1,042,515.56 is: 2,208,991.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,006.66 : 1,042,515.56 = 1,042,515.56 : x
  2. Step 2: Convert to fraction form
    492,006.66/1,042,515.56 = 1,042,515.56/x
  3. Step 3: Cross multiply
    492,006.66x = 1,042,515.56 × 1,042,515.56
  4. Step 4: Simplify right side
    492,006.66x = 1,086,838,698,054.69
  5. Step 5: Solve for x
    x = 1,086,838,698,054.69/492,006.66
  6. Step 6: Final answer
    x = 2,208,991.86

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.