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Finding the Third Proportional to 945,920 and 1,468,717

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Solution

The third proportional to 945,920 and 1,468,717 is: 2,280,456.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,920 : 1,468,717 = 1,468,717 : x
  2. Step 2: Convert to fraction form
    945,920/1,468,717 = 1,468,717/x
  3. Step 3: Cross multiply
    945,920x = 1,468,717 × 1,468,717
  4. Step 4: Simplify right side
    945,920x = 2,157,129,626,089
  5. Step 5: Solve for x
    x = 2,157,129,626,089/945,920
  6. Step 6: Final answer
    x = 2,280,456.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.