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Finding the Third Proportional to 545,954 and 1,181,334

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Solution

The third proportional to 545,954 and 1,181,334 is: 2,556,167.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,954 : 1,181,334 = 1,181,334 : x
  2. Step 2: Convert to fraction form
    545,954/1,181,334 = 1,181,334/x
  3. Step 3: Cross multiply
    545,954x = 1,181,334 × 1,181,334
  4. Step 4: Simplify right side
    545,954x = 1,395,550,019,556
  5. Step 5: Solve for x
    x = 1,395,550,019,556/545,954
  6. Step 6: Final answer
    x = 2,556,167.77

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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.