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Finding the Third Proportional to 553,173 and 834,847

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Solution

The third proportional to 553,173 and 834,847 is: 1,259,948.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,173 : 834,847 = 834,847 : x
  2. Step 2: Convert to fraction form
    553,173/834,847 = 834,847/x
  3. Step 3: Cross multiply
    553,173x = 834,847 × 834,847
  4. Step 4: Simplify right side
    553,173x = 696,969,513,409
  5. Step 5: Solve for x
    x = 696,969,513,409/553,173
  6. Step 6: Final answer
    x = 1,259,948.54

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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.