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Finding the Third Proportional to 545,868 and 1,184,976

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Solution

The third proportional to 545,868 and 1,184,976 is: 2,572,358.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,868 : 1,184,976 = 1,184,976 : x
  2. Step 2: Convert to fraction form
    545,868/1,184,976 = 1,184,976/x
  3. Step 3: Cross multiply
    545,868x = 1,184,976 × 1,184,976
  4. Step 4: Simplify right side
    545,868x = 1,404,168,120,576
  5. Step 5: Solve for x
    x = 1,404,168,120,576/545,868
  6. Step 6: Final answer
    x = 2,572,358.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.