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Finding the Third Proportional to 2,371,204 and 4,990,196

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Solution

The third proportional to 2,371,204 and 4,990,196 is: 10,501,861.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,371,204 : 4,990,196 = 4,990,196 : x
  2. Step 2: Convert to fraction form
    2,371,204/4,990,196 = 4,990,196/x
  3. Step 3: Cross multiply
    2,371,204x = 4,990,196 × 4,990,196
  4. Step 4: Simplify right side
    2,371,204x = 24,902,056,118,416
  5. Step 5: Solve for x
    x = 24,902,056,118,416/2,371,204
  6. Step 6: Final answer
    x = 10,501,861.55

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.