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Finding the Third Proportional to 474,066 and 1,003,887

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Solution

The third proportional to 474,066 and 1,003,887 is: 2,125,841.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,066 : 1,003,887 = 1,003,887 : x
  2. Step 2: Convert to fraction form
    474,066/1,003,887 = 1,003,887/x
  3. Step 3: Cross multiply
    474,066x = 1,003,887 × 1,003,887
  4. Step 4: Simplify right side
    474,066x = 1,007,789,108,769
  5. Step 5: Solve for x
    x = 1,007,789,108,769/474,066
  6. Step 6: Final answer
    x = 2,125,841.36

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.