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Finding the Third Proportional to 475,712 and 998,134

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Solution

The third proportional to 475,712 and 998,134 is: 2,094,274.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,712 : 998,134 = 998,134 : x
  2. Step 2: Convert to fraction form
    475,712/998,134 = 998,134/x
  3. Step 3: Cross multiply
    475,712x = 998,134 × 998,134
  4. Step 4: Simplify right side
    475,712x = 996,271,481,956
  5. Step 5: Solve for x
    x = 996,271,481,956/475,712
  6. Step 6: Final answer
    x = 2,094,274.44

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.