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Finding the Third Proportional to 4,562,100 and 6,378,094

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Solution

The third proportional to 4,562,100 and 6,378,094 is: 8,916,964.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,562,100 : 6,378,094 = 6,378,094 : x
  2. Step 2: Convert to fraction form
    4,562,100/6,378,094 = 6,378,094/x
  3. Step 3: Cross multiply
    4,562,100x = 6,378,094 × 6,378,094
  4. Step 4: Simplify right side
    4,562,100x = 40,680,083,072,836
  5. Step 5: Solve for x
    x = 40,680,083,072,836/4,562,100
  6. Step 6: Final answer
    x = 8,916,964.35

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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.