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Finding the Third Proportional to 961,796.25 and 1,500,923.25

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Solution

The third proportional to 961,796.25 and 1,500,923.25 is: 2,342,253.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    961,796.25 : 1,500,923.25 = 1,500,923.25 : x
  2. Step 2: Convert to fraction form
    961,796.25/1,500,923.25 = 1,500,923.25/x
  3. Step 3: Cross multiply
    961,796.25x = 1,500,923.25 × 1,500,923.25
  4. Step 4: Simplify right side
    961,796.25x = 2,252,770,602,390.56
  5. Step 5: Solve for x
    x = 2,252,770,602,390.56/961,796.25
  6. Step 6: Final answer
    x = 2,342,253.47

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.