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Finding the Third Proportional to 4,434,760 and 6,178,736

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Solution

The third proportional to 4,434,760 and 6,178,736 is: 8,608,533.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,434,760 : 6,178,736 = 6,178,736 : x
  2. Step 2: Convert to fraction form
    4,434,760/6,178,736 = 6,178,736/x
  3. Step 3: Cross multiply
    4,434,760x = 6,178,736 × 6,178,736
  4. Step 4: Simplify right side
    4,434,760x = 38,176,778,557,696
  5. Step 5: Solve for x
    x = 38,176,778,557,696/4,434,760
  6. Step 6: Final answer
    x = 8,608,533.17

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.