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Finding the Third Proportional to 784,096 and 1,104,201

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Solution

The third proportional to 784,096 and 1,104,201 is: 1,554,987.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,096 : 1,104,201 = 1,104,201 : x
  2. Step 2: Convert to fraction form
    784,096/1,104,201 = 1,104,201/x
  3. Step 3: Cross multiply
    784,096x = 1,104,201 × 1,104,201
  4. Step 4: Simplify right side
    784,096x = 1,219,259,848,401
  5. Step 5: Solve for x
    x = 1,219,259,848,401/784,096
  6. Step 6: Final answer
    x = 1,554,987.97

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.