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Finding the Third Proportional to 997,655 and 2,181,645

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Solution

The third proportional to 997,655 and 2,181,645 is: 4,770,762.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,655 : 2,181,645 = 2,181,645 : x
  2. Step 2: Convert to fraction form
    997,655/2,181,645 = 2,181,645/x
  3. Step 3: Cross multiply
    997,655x = 2,181,645 × 2,181,645
  4. Step 4: Simplify right side
    997,655x = 4,759,574,906,025
  5. Step 5: Solve for x
    x = 4,759,574,906,025/997,655
  6. Step 6: Final answer
    x = 4,770,762.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.