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Finding the Third Proportional to 452,198.25 and 941,607

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Solution

The third proportional to 452,198.25 and 941,607 is: 1,960,696.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,198.25 : 941,607 = 941,607 : x
  2. Step 2: Convert to fraction form
    452,198.25/941,607 = 941,607/x
  3. Step 3: Cross multiply
    452,198.25x = 941,607 × 941,607
  4. Step 4: Simplify right side
    452,198.25x = 886,623,742,449
  5. Step 5: Solve for x
    x = 886,623,742,449/452,198.25
  6. Step 6: Final answer
    x = 1,960,696.98

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.