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Finding the Third Proportional to 553,182 and 834,858

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Solution

The third proportional to 553,182 and 834,858 is: 1,259,961.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,182 : 834,858 = 834,858 : x
  2. Step 2: Convert to fraction form
    553,182/834,858 = 834,858/x
  3. Step 3: Cross multiply
    553,182x = 834,858 × 834,858
  4. Step 4: Simplify right side
    553,182x = 696,987,880,164
  5. Step 5: Solve for x
    x = 696,987,880,164/553,182
  6. Step 6: Final answer
    x = 1,259,961.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.