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Finding the Third Proportional to 541,647 and 1,153,278

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Solution

The third proportional to 541,647 and 1,153,278 is: 2,455,566.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,647 : 1,153,278 = 1,153,278 : x
  2. Step 2: Convert to fraction form
    541,647/1,153,278 = 1,153,278/x
  3. Step 3: Cross multiply
    541,647x = 1,153,278 × 1,153,278
  4. Step 4: Simplify right side
    541,647x = 1,330,050,145,284
  5. Step 5: Solve for x
    x = 1,330,050,145,284/541,647
  6. Step 6: Final answer
    x = 2,455,566.35

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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.