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Finding the Third Proportional to 643,599 and 1,397,907

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Solution

The third proportional to 643,599 and 1,397,907 is: 3,036,275.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,599 : 1,397,907 = 1,397,907 : x
  2. Step 2: Convert to fraction form
    643,599/1,397,907 = 1,397,907/x
  3. Step 3: Cross multiply
    643,599x = 1,397,907 × 1,397,907
  4. Step 4: Simplify right side
    643,599x = 1,954,143,980,649
  5. Step 5: Solve for x
    x = 1,954,143,980,649/643,599
  6. Step 6: Final answer
    x = 3,036,275.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.