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Finding the Third Proportional to 902,130 and 1,961,644

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Solution

The third proportional to 902,130 and 1,961,644 is: 4,265,512.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,130 : 1,961,644 = 1,961,644 : x
  2. Step 2: Convert to fraction form
    902,130/1,961,644 = 1,961,644/x
  3. Step 3: Cross multiply
    902,130x = 1,961,644 × 1,961,644
  4. Step 4: Simplify right side
    902,130x = 3,848,047,182,736
  5. Step 5: Solve for x
    x = 3,848,047,182,736/902,130
  6. Step 6: Final answer
    x = 4,265,512.93

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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.