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Finding the Third Proportional to 474,079 and 1,003,913

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Solution

The third proportional to 474,079 and 1,003,913 is: 2,125,893.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,079 : 1,003,913 = 1,003,913 : x
  2. Step 2: Convert to fraction form
    474,079/1,003,913 = 1,003,913/x
  3. Step 3: Cross multiply
    474,079x = 1,003,913 × 1,003,913
  4. Step 4: Simplify right side
    474,079x = 1,007,841,311,569
  5. Step 5: Solve for x
    x = 1,007,841,311,569/474,079
  6. Step 6: Final answer
    x = 2,125,893.18

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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.