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Finding the Third Proportional to 556,334 and 834,126

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Solution

The third proportional to 556,334 and 834,126 is: 1,250,626.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,334 : 834,126 = 834,126 : x
  2. Step 2: Convert to fraction form
    556,334/834,126 = 834,126/x
  3. Step 3: Cross multiply
    556,334x = 834,126 × 834,126
  4. Step 4: Simplify right side
    556,334x = 695,766,183,876
  5. Step 5: Solve for x
    x = 695,766,183,876/556,334
  6. Step 6: Final answer
    x = 1,250,626.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.