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Finding the Third Proportional to 843,148 and 1,233,174

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Solution

The third proportional to 843,148 and 1,233,174 is: 1,803,619.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,148 : 1,233,174 = 1,233,174 : x
  2. Step 2: Convert to fraction form
    843,148/1,233,174 = 1,233,174/x
  3. Step 3: Cross multiply
    843,148x = 1,233,174 × 1,233,174
  4. Step 4: Simplify right side
    843,148x = 1,520,718,114,276
  5. Step 5: Solve for x
    x = 1,520,718,114,276/843,148
  6. Step 6: Final answer
    x = 1,803,619.43

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.