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Finding the Third Proportional to 919,162 and 1,985,906

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Solution

The third proportional to 919,162 and 1,985,906 is: 4,290,671.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    919,162 : 1,985,906 = 1,985,906 : x
  2. Step 2: Convert to fraction form
    919,162/1,985,906 = 1,985,906/x
  3. Step 3: Cross multiply
    919,162x = 1,985,906 × 1,985,906
  4. Step 4: Simplify right side
    919,162x = 3,943,822,640,836
  5. Step 5: Solve for x
    x = 3,943,822,640,836/919,162
  6. Step 6: Final answer
    x = 4,290,671.98

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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.