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Finding the Third Proportional to 1,567,384 and 3,201,182

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Solution

The third proportional to 1,567,384 and 3,201,182 is: 6,538,006.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567,384 : 3,201,182 = 3,201,182 : x
  2. Step 2: Convert to fraction form
    1,567,384/3,201,182 = 3,201,182/x
  3. Step 3: Cross multiply
    1,567,384x = 3,201,182 × 3,201,182
  4. Step 4: Simplify right side
    1,567,384x = 10,247,566,197,124
  5. Step 5: Solve for x
    x = 10,247,566,197,124/1,567,384
  6. Step 6: Final answer
    x = 6,538,006.13

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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.