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Finding the Third Proportional to 991,104 and 2,164,225

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Solution

The third proportional to 991,104 and 2,164,225 is: 4,725,911.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    991,104 : 2,164,225 = 2,164,225 : x
  2. Step 2: Convert to fraction form
    991,104/2,164,225 = 2,164,225/x
  3. Step 3: Cross multiply
    991,104x = 2,164,225 × 2,164,225
  4. Step 4: Simplify right side
    991,104x = 4,683,869,850,625
  5. Step 5: Solve for x
    x = 4,683,869,850,625/991,104
  6. Step 6: Final answer
    x = 4,725,911.56

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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.