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Finding the Third Proportional to 529,110 and 1,163,196

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Solution

The third proportional to 529,110 and 1,163,196 is: 2,557,171.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,110 : 1,163,196 = 1,163,196 : x
  2. Step 2: Convert to fraction form
    529,110/1,163,196 = 1,163,196/x
  3. Step 3: Cross multiply
    529,110x = 1,163,196 × 1,163,196
  4. Step 4: Simplify right side
    529,110x = 1,353,024,934,416
  5. Step 5: Solve for x
    x = 1,353,024,934,416/529,110
  6. Step 6: Final answer
    x = 2,557,171.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.