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Finding the Third Proportional to 489,148 and 1,059,721

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Solution

The third proportional to 489,148 and 1,059,721 is: 2,295,846.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,148 : 1,059,721 = 1,059,721 : x
  2. Step 2: Convert to fraction form
    489,148/1,059,721 = 1,059,721/x
  3. Step 3: Cross multiply
    489,148x = 1,059,721 × 1,059,721
  4. Step 4: Simplify right side
    489,148x = 1,123,008,597,841
  5. Step 5: Solve for x
    x = 1,123,008,597,841/489,148
  6. Step 6: Final answer
    x = 2,295,846.24

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.