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Finding the Third Proportional to 843,166 and 1,827,416

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Solution

The third proportional to 843,166 and 1,827,416 is: 3,960,607.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,166 : 1,827,416 = 1,827,416 : x
  2. Step 2: Convert to fraction form
    843,166/1,827,416 = 1,827,416/x
  3. Step 3: Cross multiply
    843,166x = 1,827,416 × 1,827,416
  4. Step 4: Simplify right side
    843,166x = 3,339,449,237,056
  5. Step 5: Solve for x
    x = 3,339,449,237,056/843,166
  6. Step 6: Final answer
    x = 3,960,607.09

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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.