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Finding the Third Proportional to 1,182,609 and 2,594,121

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Solution

The third proportional to 1,182,609 and 2,594,121 is: 5,690,353.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182,609 : 2,594,121 = 2,594,121 : x
  2. Step 2: Convert to fraction form
    1,182,609/2,594,121 = 2,594,121/x
  3. Step 3: Cross multiply
    1,182,609x = 2,594,121 × 2,594,121
  4. Step 4: Simplify right side
    1,182,609x = 6,729,463,762,641
  5. Step 5: Solve for x
    x = 6,729,463,762,641/1,182,609
  6. Step 6: Final answer
    x = 5,690,353.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.