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Finding the Third Proportional to 1,184,976 and 2,310,834

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Solution

The third proportional to 1,184,976 and 2,310,834 is: 4,506,381.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184,976 : 2,310,834 = 2,310,834 : x
  2. Step 2: Convert to fraction form
    1,184,976/2,310,834 = 2,310,834/x
  3. Step 3: Cross multiply
    1,184,976x = 2,310,834 × 2,310,834
  4. Step 4: Simplify right side
    1,184,976x = 5,339,953,775,556
  5. Step 5: Solve for x
    x = 5,339,953,775,556/1,184,976
  6. Step 6: Final answer
    x = 4,506,381.37

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.