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Finding the Third Proportional to 420,878 and 1,014,287

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Solution

The third proportional to 420,878 and 1,014,287 is: 2,444,361.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,878 : 1,014,287 = 1,014,287 : x
  2. Step 2: Convert to fraction form
    420,878/1,014,287 = 1,014,287/x
  3. Step 3: Cross multiply
    420,878x = 1,014,287 × 1,014,287
  4. Step 4: Simplify right side
    420,878x = 1,028,778,118,369
  5. Step 5: Solve for x
    x = 1,028,778,118,369/420,878
  6. Step 6: Final answer
    x = 2,444,361.83

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.