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Finding the Third Proportional to 653,589 and 1,407,291

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Solution

The third proportional to 653,589 and 1,407,291 is: 3,030,142.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,589 : 1,407,291 = 1,407,291 : x
  2. Step 2: Convert to fraction form
    653,589/1,407,291 = 1,407,291/x
  3. Step 3: Cross multiply
    653,589x = 1,407,291 × 1,407,291
  4. Step 4: Simplify right side
    653,589x = 1,980,467,958,681
  5. Step 5: Solve for x
    x = 1,980,467,958,681/653,589
  6. Step 6: Final answer
    x = 3,030,142.73

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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.