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Finding the Third Proportional to 390,000 and 843,966

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Solution

The third proportional to 390,000 and 843,966 is: 1,826,355.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,000 : 843,966 = 843,966 : x
  2. Step 2: Convert to fraction form
    390,000/843,966 = 843,966/x
  3. Step 3: Cross multiply
    390,000x = 843,966 × 843,966
  4. Step 4: Simplify right side
    390,000x = 712,278,609,156
  5. Step 5: Solve for x
    x = 712,278,609,156/390,000
  6. Step 6: Final answer
    x = 1,826,355.41

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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.