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Finding the Third Proportional to 452,194 and 941,602

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Solution

The third proportional to 452,194 and 941,602 is: 1,960,694.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,194 : 941,602 = 941,602 : x
  2. Step 2: Convert to fraction form
    452,194/941,602 = 941,602/x
  3. Step 3: Cross multiply
    452,194x = 941,602 × 941,602
  4. Step 4: Simplify right side
    452,194x = 886,614,326,404
  5. Step 5: Solve for x
    x = 886,614,326,404/452,194
  6. Step 6: Final answer
    x = 1,960,694.58

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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.