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Finding the Third Proportional to 420,876 and 1,014,282

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Solution

The third proportional to 420,876 and 1,014,282 is: 2,444,349.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,876 : 1,014,282 = 1,014,282 : x
  2. Step 2: Convert to fraction form
    420,876/1,014,282 = 1,014,282/x
  3. Step 3: Cross multiply
    420,876x = 1,014,282 × 1,014,282
  4. Step 4: Simplify right side
    420,876x = 1,028,767,975,524
  5. Step 5: Solve for x
    x = 1,028,767,975,524/420,876
  6. Step 6: Final answer
    x = 2,444,349.35

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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.