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Finding the Third Proportional to 474,927 and 999,055

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Solution

The third proportional to 474,927 and 999,055 is: 2,101,609.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,927 : 999,055 = 999,055 : x
  2. Step 2: Convert to fraction form
    474,927/999,055 = 999,055/x
  3. Step 3: Cross multiply
    474,927x = 999,055 × 999,055
  4. Step 4: Simplify right side
    474,927x = 998,110,893,025
  5. Step 5: Solve for x
    x = 998,110,893,025/474,927
  6. Step 6: Final answer
    x = 2,101,609.07

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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.