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Finding the Third Proportional to 1,678,078.27 and 3,673,544.91

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Solution

The third proportional to 1,678,078.27 and 3,673,544.91 is: 8,041,896.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678,078.27 : 3,673,544.91 = 3,673,544.91 : x
  2. Step 2: Convert to fraction form
    1,678,078.27/3,673,544.91 = 3,673,544.91/x
  3. Step 3: Cross multiply
    1,678,078.27x = 3,673,544.91 × 3,673,544.91
  4. Step 4: Simplify right side
    1,678,078.27x = 13,494,932,178,235.32
  5. Step 5: Solve for x
    x = 13,494,932,178,235.32/1,678,078.27
  6. Step 6: Final answer
    x = 8,041,896.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.