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Finding the Third Proportional to 4,874,164 and 6,814,027

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Solution

The third proportional to 4,874,164 and 6,814,027 is: 9,525,933.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,874,164 : 6,814,027 = 6,814,027 : x
  2. Step 2: Convert to fraction form
    4,874,164/6,814,027 = 6,814,027/x
  3. Step 3: Cross multiply
    4,874,164x = 6,814,027 × 6,814,027
  4. Step 4: Simplify right side
    4,874,164x = 46,430,963,956,729
  5. Step 5: Solve for x
    x = 46,430,963,956,729/4,874,164
  6. Step 6: Final answer
    x = 9,525,933.87

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.