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Finding the Third Proportional to 863,048.25 and 1,294,573.13

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Solution

The third proportional to 863,048.25 and 1,294,573.13 is: 1,941,860.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,048.25 : 1,294,573.13 = 1,294,573.13 : x
  2. Step 2: Convert to fraction form
    863,048.25/1,294,573.13 = 1,294,573.13/x
  3. Step 3: Cross multiply
    863,048.25x = 1,294,573.13 × 1,294,573.13
  4. Step 4: Simplify right side
    863,048.25x = 1,675,919,575,972.27
  5. Step 5: Solve for x
    x = 1,675,919,575,972.27/863,048.25
  6. Step 6: Final answer
    x = 1,941,860.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.