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Finding the Third Proportional to 1,397,017 and 2,135,621

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Solution

The third proportional to 1,397,017 and 2,135,621 is: 3,264,725.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397,017 : 2,135,621 = 2,135,621 : x
  2. Step 2: Convert to fraction form
    1,397,017/2,135,621 = 2,135,621/x
  3. Step 3: Cross multiply
    1,397,017x = 2,135,621 × 2,135,621
  4. Step 4: Simplify right side
    1,397,017x = 4,560,877,055,641
  5. Step 5: Solve for x
    x = 4,560,877,055,641/1,397,017
  6. Step 6: Final answer
    x = 3,264,725.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.