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Finding the Third Proportional to 475,710 and 998,130

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Solution

The third proportional to 475,710 and 998,130 is: 2,094,266.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,710 : 998,130 = 998,130 : x
  2. Step 2: Convert to fraction form
    475,710/998,130 = 998,130/x
  3. Step 3: Cross multiply
    475,710x = 998,130 × 998,130
  4. Step 4: Simplify right side
    475,710x = 996,263,496,900
  5. Step 5: Solve for x
    x = 996,263,496,900/475,710
  6. Step 6: Final answer
    x = 2,094,266.46

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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.