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Finding the Third Proportional to 733,904 and 1,488,462

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Solution

The third proportional to 733,904 and 1,488,462 is: 3,018,813.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,904 : 1,488,462 = 1,488,462 : x
  2. Step 2: Convert to fraction form
    733,904/1,488,462 = 1,488,462/x
  3. Step 3: Cross multiply
    733,904x = 1,488,462 × 1,488,462
  4. Step 4: Simplify right side
    733,904x = 2,215,519,125,444
  5. Step 5: Solve for x
    x = 2,215,519,125,444/733,904
  6. Step 6: Final answer
    x = 3,018,813.26

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.