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Finding the Third Proportional to 900,638.25 and 1,961,188.25

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Solution

The third proportional to 900,638.25 and 1,961,188.25 is: 4,270,592.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    900,638.25 : 1,961,188.25 = 1,961,188.25 : x
  2. Step 2: Convert to fraction form
    900,638.25/1,961,188.25 = 1,961,188.25/x
  3. Step 3: Cross multiply
    900,638.25x = 1,961,188.25 × 1,961,188.25
  4. Step 4: Simplify right side
    900,638.25x = 3,846,259,351,938.06
  5. Step 5: Solve for x
    x = 3,846,259,351,938.06/900,638.25
  6. Step 6: Final answer
    x = 4,270,592.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.