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Finding the Third Proportional to 818,920 and 1,771,975

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Solution

The third proportional to 818,920 and 1,771,975 is: 3,834,190.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    818,920 : 1,771,975 = 1,771,975 : x
  2. Step 2: Convert to fraction form
    818,920/1,771,975 = 1,771,975/x
  3. Step 3: Cross multiply
    818,920x = 1,771,975 × 1,771,975
  4. Step 4: Simplify right side
    818,920x = 3,139,895,400,625
  5. Step 5: Solve for x
    x = 3,139,895,400,625/818,920
  6. Step 6: Final answer
    x = 3,834,190.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.