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Finding the Third Proportional to 985,211 and 2,124,241

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Solution

The third proportional to 985,211 and 2,124,241 is: 4,580,135.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    985,211 : 2,124,241 = 2,124,241 : x
  2. Step 2: Convert to fraction form
    985,211/2,124,241 = 2,124,241/x
  3. Step 3: Cross multiply
    985,211x = 2,124,241 × 2,124,241
  4. Step 4: Simplify right side
    985,211x = 4,512,399,826,081
  5. Step 5: Solve for x
    x = 4,512,399,826,081/985,211
  6. Step 6: Final answer
    x = 4,580,135.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.