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Finding the Third Proportional to 475,966 and 1,034,876

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Solution

The third proportional to 475,966 and 1,034,876 is: 2,250,094.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,966 : 1,034,876 = 1,034,876 : x
  2. Step 2: Convert to fraction form
    475,966/1,034,876 = 1,034,876/x
  3. Step 3: Cross multiply
    475,966x = 1,034,876 × 1,034,876
  4. Step 4: Simplify right side
    475,966x = 1,070,968,335,376
  5. Step 5: Solve for x
    x = 1,070,968,335,376/475,966
  6. Step 6: Final answer
    x = 2,250,094.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.