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Finding the Third Proportional to 474,032 and 1,036,749

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Solution

The third proportional to 474,032 and 1,036,749 is: 2,267,459.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,032 : 1,036,749 = 1,036,749 : x
  2. Step 2: Convert to fraction form
    474,032/1,036,749 = 1,036,749/x
  3. Step 3: Cross multiply
    474,032x = 1,036,749 × 1,036,749
  4. Step 4: Simplify right side
    474,032x = 1,074,848,489,001
  5. Step 5: Solve for x
    x = 1,074,848,489,001/474,032
  6. Step 6: Final answer
    x = 2,267,459.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.