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Finding the Third Proportional to 493,260 and 1,061,382

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Solution

The third proportional to 493,260 and 1,061,382 is: 2,283,849.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,260 : 1,061,382 = 1,061,382 : x
  2. Step 2: Convert to fraction form
    493,260/1,061,382 = 1,061,382/x
  3. Step 3: Cross multiply
    493,260x = 1,061,382 × 1,061,382
  4. Step 4: Simplify right side
    493,260x = 1,126,531,749,924
  5. Step 5: Solve for x
    x = 1,126,531,749,924/493,260
  6. Step 6: Final answer
    x = 2,283,849.80

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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.