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Finding the Third Proportional to 474,930 and 999,060

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Solution

The third proportional to 474,930 and 999,060 is: 2,101,616.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,930 : 999,060 = 999,060 : x
  2. Step 2: Convert to fraction form
    474,930/999,060 = 999,060/x
  3. Step 3: Cross multiply
    474,930x = 999,060 × 999,060
  4. Step 4: Simplify right side
    474,930x = 998,120,883,600
  5. Step 5: Solve for x
    x = 998,120,883,600/474,930
  6. Step 6: Final answer
    x = 2,101,616.84

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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.