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Finding the Third Proportional to 1,997,232 and 4,274,400

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Solution

The third proportional to 1,997,232 and 4,274,400 is: 9,147,908.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997,232 : 4,274,400 = 4,274,400 : x
  2. Step 2: Convert to fraction form
    1,997,232/4,274,400 = 4,274,400/x
  3. Step 3: Cross multiply
    1,997,232x = 4,274,400 × 4,274,400
  4. Step 4: Simplify right side
    1,997,232x = 18,270,495,360,000
  5. Step 5: Solve for x
    x = 18,270,495,360,000/1,997,232
  6. Step 6: Final answer
    x = 9,147,908.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.