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Finding the Third Proportional to 474,069 and 1,003,893

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Solution

The third proportional to 474,069 and 1,003,893 is: 2,125,853.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,069 : 1,003,893 = 1,003,893 : x
  2. Step 2: Convert to fraction form
    474,069/1,003,893 = 1,003,893/x
  3. Step 3: Cross multiply
    474,069x = 1,003,893 × 1,003,893
  4. Step 4: Simplify right side
    474,069x = 1,007,801,155,449
  5. Step 5: Solve for x
    x = 1,007,801,155,449/474,069
  6. Step 6: Final answer
    x = 2,125,853.32

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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.