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Finding the Third Proportional to 2,870,121 and 6,196,821

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Solution

The third proportional to 2,870,121 and 6,196,821 is: 13,379,432.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,870,121 : 6,196,821 = 6,196,821 : x
  2. Step 2: Convert to fraction form
    2,870,121/6,196,821 = 6,196,821/x
  3. Step 3: Cross multiply
    2,870,121x = 6,196,821 × 6,196,821
  4. Step 4: Simplify right side
    2,870,121x = 38,400,590,506,041
  5. Step 5: Solve for x
    x = 38,400,590,506,041/2,870,121
  6. Step 6: Final answer
    x = 13,379,432.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.