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Finding the Third Proportional to 1,077,178 and 2,294,324

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Solution

The third proportional to 1,077,178 and 2,294,324 is: 4,886,771.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077,178 : 2,294,324 = 2,294,324 : x
  2. Step 2: Convert to fraction form
    1,077,178/2,294,324 = 2,294,324/x
  3. Step 3: Cross multiply
    1,077,178x = 2,294,324 × 2,294,324
  4. Step 4: Simplify right side
    1,077,178x = 5,263,922,616,976
  5. Step 5: Solve for x
    x = 5,263,922,616,976/1,077,178
  6. Step 6: Final answer
    x = 4,886,771.38

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.