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Finding the Third Proportional to 843,322 and 1,850,716

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Solution

The third proportional to 843,322 and 1,850,716 is: 4,061,496.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,322 : 1,850,716 = 1,850,716 : x
  2. Step 2: Convert to fraction form
    843,322/1,850,716 = 1,850,716/x
  3. Step 3: Cross multiply
    843,322x = 1,850,716 × 1,850,716
  4. Step 4: Simplify right side
    843,322x = 3,425,149,712,656
  5. Step 5: Solve for x
    x = 3,425,149,712,656/843,322
  6. Step 6: Final answer
    x = 4,061,496.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.