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Finding the Third Proportional to 462,167 and 1,000,150

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Solution

The third proportional to 462,167 and 1,000,150 is: 2,164,369.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,167 : 1,000,150 = 1,000,150 : x
  2. Step 2: Convert to fraction form
    462,167/1,000,150 = 1,000,150/x
  3. Step 3: Cross multiply
    462,167x = 1,000,150 × 1,000,150
  4. Step 4: Simplify right side
    462,167x = 1,000,300,022,500
  5. Step 5: Solve for x
    x = 1,000,300,022,500/462,167
  6. Step 6: Final answer
    x = 2,164,369.21

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.