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Finding the Third Proportional to 911,540 and 1,415,094

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Solution

The third proportional to 911,540 and 1,415,094 is: 2,196,821.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    911,540 : 1,415,094 = 1,415,094 : x
  2. Step 2: Convert to fraction form
    911,540/1,415,094 = 1,415,094/x
  3. Step 3: Cross multiply
    911,540x = 1,415,094 × 1,415,094
  4. Step 4: Simplify right side
    911,540x = 2,002,491,028,836
  5. Step 5: Solve for x
    x = 2,002,491,028,836/911,540
  6. Step 6: Final answer
    x = 2,196,821.89

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.