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Finding the Third Proportional to 2,769,942 and 4,173,138

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Solution

The third proportional to 2,769,942 and 4,173,138 is: 6,287,164.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769,942 : 4,173,138 = 4,173,138 : x
  2. Step 2: Convert to fraction form
    2,769,942/4,173,138 = 4,173,138/x
  3. Step 3: Cross multiply
    2,769,942x = 4,173,138 × 4,173,138
  4. Step 4: Simplify right side
    2,769,942x = 17,415,080,767,044
  5. Step 5: Solve for x
    x = 17,415,080,767,044/2,769,942
  6. Step 6: Final answer
    x = 6,287,164.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.