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Finding the Third Proportional to 1,883,046 and 4,118,198

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Solution

The third proportional to 1,883,046 and 4,118,198 is: 9,006,447.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,883,046 : 4,118,198 = 4,118,198 : x
  2. Step 2: Convert to fraction form
    1,883,046/4,118,198 = 4,118,198/x
  3. Step 3: Cross multiply
    1,883,046x = 4,118,198 × 4,118,198
  4. Step 4: Simplify right side
    1,883,046x = 16,959,554,767,204
  5. Step 5: Solve for x
    x = 16,959,554,767,204/1,883,046
  6. Step 6: Final answer
    x = 9,006,447.41

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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.