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Finding the Third Proportional to 889,020 and 1,920,198

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Solution

The third proportional to 889,020 and 1,920,198 is: 4,147,443.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    889,020 : 1,920,198 = 1,920,198 : x
  2. Step 2: Convert to fraction form
    889,020/1,920,198 = 1,920,198/x
  3. Step 3: Cross multiply
    889,020x = 1,920,198 × 1,920,198
  4. Step 4: Simplify right side
    889,020x = 3,687,160,359,204
  5. Step 5: Solve for x
    x = 3,687,160,359,204/889,020
  6. Step 6: Final answer
    x = 4,147,443.66

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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.