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Finding the Third Proportional to 667,035 and 1,466,915.06

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Solution

The third proportional to 667,035 and 1,466,915.06 is: 3,225,977.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,035 : 1,466,915.06 = 1,466,915.06 : x
  2. Step 2: Convert to fraction form
    667,035/1,466,915.06 = 1,466,915.06/x
  3. Step 3: Cross multiply
    667,035x = 1,466,915.06 × 1,466,915.06
  4. Step 4: Simplify right side
    667,035x = 2,151,839,800,589.38
  5. Step 5: Solve for x
    x = 2,151,839,800,589.38/667,035
  6. Step 6: Final answer
    x = 3,225,977.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.