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Finding the Third Proportional to 423,846 and 920,592

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Solution

The third proportional to 423,846 and 920,592 is: 1,999,522.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,846 : 920,592 = 920,592 : x
  2. Step 2: Convert to fraction form
    423,846/920,592 = 920,592/x
  3. Step 3: Cross multiply
    423,846x = 920,592 × 920,592
  4. Step 4: Simplify right side
    423,846x = 847,489,630,464
  5. Step 5: Solve for x
    x = 847,489,630,464/423,846
  6. Step 6: Final answer
    x = 1,999,522.54

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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.