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Finding the Third Proportional to 442,902 and 960,828

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Solution

The third proportional to 442,902 and 960,828 is: 2,084,412.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,902 : 960,828 = 960,828 : x
  2. Step 2: Convert to fraction form
    442,902/960,828 = 960,828/x
  3. Step 3: Cross multiply
    442,902x = 960,828 × 960,828
  4. Step 4: Simplify right side
    442,902x = 923,190,445,584
  5. Step 5: Solve for x
    x = 923,190,445,584/442,902
  6. Step 6: Final answer
    x = 2,084,412.46

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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.