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Finding the Third Proportional to 833,986 and 1,820,924

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Solution

The third proportional to 833,986 and 1,820,924 is: 3,975,803.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    833,986 : 1,820,924 = 1,820,924 : x
  2. Step 2: Convert to fraction form
    833,986/1,820,924 = 1,820,924/x
  3. Step 3: Cross multiply
    833,986x = 1,820,924 × 1,820,924
  4. Step 4: Simplify right side
    833,986x = 3,315,764,213,776
  5. Step 5: Solve for x
    x = 3,315,764,213,776/833,986
  6. Step 6: Final answer
    x = 3,975,803.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.