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Finding the Third Proportional to 1,704,467.25 and 3,645,333

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Solution

The third proportional to 1,704,467.25 and 3,645,333 is: 7,796,249.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704,467.25 : 3,645,333 = 3,645,333 : x
  2. Step 2: Convert to fraction form
    1,704,467.25/3,645,333 = 3,645,333/x
  3. Step 3: Cross multiply
    1,704,467.25x = 3,645,333 × 3,645,333
  4. Step 4: Simplify right side
    1,704,467.25x = 13,288,452,680,889
  5. Step 5: Solve for x
    x = 13,288,452,680,889/1,704,467.25
  6. Step 6: Final answer
    x = 7,796,249.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.