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Finding the Third Proportional to 858,278 and 1,261,142

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Solution

The third proportional to 858,278 and 1,261,142 is: 1,853,104.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    858,278 : 1,261,142 = 1,261,142 : x
  2. Step 2: Convert to fraction form
    858,278/1,261,142 = 1,261,142/x
  3. Step 3: Cross multiply
    858,278x = 1,261,142 × 1,261,142
  4. Step 4: Simplify right side
    858,278x = 1,590,479,144,164
  5. Step 5: Solve for x
    x = 1,590,479,144,164/858,278
  6. Step 6: Final answer
    x = 1,853,104.87

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.