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Finding the Third Proportional to 412,020 and 902,772

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Solution

The third proportional to 412,020 and 902,772 is: 1,978,052.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,020 : 902,772 = 902,772 : x
  2. Step 2: Convert to fraction form
    412,020/902,772 = 902,772/x
  3. Step 3: Cross multiply
    412,020x = 902,772 × 902,772
  4. Step 4: Simplify right side
    412,020x = 814,997,283,984
  5. Step 5: Solve for x
    x = 814,997,283,984/412,020
  6. Step 6: Final answer
    x = 1,978,052.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.