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Finding the Third Proportional to 461,941.25 and 987,721.50

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Solution

The third proportional to 461,941.25 and 987,721.50 is: 2,111,943.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,941.25 : 987,721.50 = 987,721.50 : x
  2. Step 2: Convert to fraction form
    461,941.25/987,721.50 = 987,721.50/x
  3. Step 3: Cross multiply
    461,941.25x = 987,721.50 × 987,721.50
  4. Step 4: Simplify right side
    461,941.25x = 975,593,761,562.25
  5. Step 5: Solve for x
    x = 975,593,761,562.25/461,941.25
  6. Step 6: Final answer
    x = 2,111,943.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.