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Finding the Third Proportional to 1,221,504 and 2,623,584

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Solution

The third proportional to 1,221,504 and 2,623,584 is: 5,635,014.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221,504 : 2,623,584 = 2,623,584 : x
  2. Step 2: Convert to fraction form
    1,221,504/2,623,584 = 2,623,584/x
  3. Step 3: Cross multiply
    1,221,504x = 2,623,584 × 2,623,584
  4. Step 4: Simplify right side
    1,221,504x = 6,883,193,005,056
  5. Step 5: Solve for x
    x = 6,883,193,005,056/1,221,504
  6. Step 6: Final answer
    x = 5,635,014.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.