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Finding the Third Proportional to 491,052 and 1,057,194

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Solution

The third proportional to 491,052 and 1,057,194 is: 2,276,050.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,052 : 1,057,194 = 1,057,194 : x
  2. Step 2: Convert to fraction form
    491,052/1,057,194 = 1,057,194/x
  3. Step 3: Cross multiply
    491,052x = 1,057,194 × 1,057,194
  4. Step 4: Simplify right side
    491,052x = 1,117,659,153,636
  5. Step 5: Solve for x
    x = 1,117,659,153,636/491,052
  6. Step 6: Final answer
    x = 2,276,050.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.