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Finding the Third Proportional to 466,380 and 1,000,692

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Solution

The third proportional to 466,380 and 1,000,692 is: 2,147,142.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,380 : 1,000,692 = 1,000,692 : x
  2. Step 2: Convert to fraction form
    466,380/1,000,692 = 1,000,692/x
  3. Step 3: Cross multiply
    466,380x = 1,000,692 × 1,000,692
  4. Step 4: Simplify right side
    466,380x = 1,001,384,478,864
  5. Step 5: Solve for x
    x = 1,001,384,478,864/466,380
  6. Step 6: Final answer
    x = 2,147,142.84

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.