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Finding the Third Proportional to 461,816 and 959,920

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Solution

The third proportional to 461,816 and 959,920 is: 1,995,267.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,816 : 959,920 = 959,920 : x
  2. Step 2: Convert to fraction form
    461,816/959,920 = 959,920/x
  3. Step 3: Cross multiply
    461,816x = 959,920 × 959,920
  4. Step 4: Simplify right side
    461,816x = 921,446,406,400
  5. Step 5: Solve for x
    x = 921,446,406,400/461,816
  6. Step 6: Final answer
    x = 1,995,267.39

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.