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Finding the Third Proportional to 475,709 and 998,127

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Solution

The third proportional to 475,709 and 998,127 is: 2,094,258.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,709 : 998,127 = 998,127 : x
  2. Step 2: Convert to fraction form
    475,709/998,127 = 998,127/x
  3. Step 3: Cross multiply
    475,709x = 998,127 × 998,127
  4. Step 4: Simplify right side
    475,709x = 996,257,508,129
  5. Step 5: Solve for x
    x = 996,257,508,129/475,709
  6. Step 6: Final answer
    x = 2,094,258.27

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