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Finding the Third Proportional to 493,140 and 1,061,194

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Solution

The third proportional to 493,140 and 1,061,194 is: 2,283,596.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,140 : 1,061,194 = 1,061,194 : x
  2. Step 2: Convert to fraction form
    493,140/1,061,194 = 1,061,194/x
  3. Step 3: Cross multiply
    493,140x = 1,061,194 × 1,061,194
  4. Step 4: Simplify right side
    493,140x = 1,126,132,705,636
  5. Step 5: Solve for x
    x = 1,126,132,705,636/493,140
  6. Step 6: Final answer
    x = 2,283,596.35

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