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Finding the Third Proportional to 421,272 and 1,007,280

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Solution

The third proportional to 421,272 and 1,007,280 is: 2,408,451.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,272 : 1,007,280 = 1,007,280 : x
  2. Step 2: Convert to fraction form
    421,272/1,007,280 = 1,007,280/x
  3. Step 3: Cross multiply
    421,272x = 1,007,280 × 1,007,280
  4. Step 4: Simplify right side
    421,272x = 1,014,612,998,400
  5. Step 5: Solve for x
    x = 1,014,612,998,400/421,272
  6. Step 6: Final answer
    x = 2,408,451.07

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.