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Finding the Third Proportional to 1,567,321 and 3,201,057

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Solution

The third proportional to 1,567,321 and 3,201,057 is: 6,537,758.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567,321 : 3,201,057 = 3,201,057 : x
  2. Step 2: Convert to fraction form
    1,567,321/3,201,057 = 3,201,057/x
  3. Step 3: Cross multiply
    1,567,321x = 3,201,057 × 3,201,057
  4. Step 4: Simplify right side
    1,567,321x = 10,246,765,917,249
  5. Step 5: Solve for x
    x = 10,246,765,917,249/1,567,321
  6. Step 6: Final answer
    x = 6,537,758.33

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.