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Finding the Third Proportional to 1,016,460 and 1,355,096

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Solution

The third proportional to 1,016,460 and 1,355,096 is: 1,806,549.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016,460 : 1,355,096 = 1,355,096 : x
  2. Step 2: Convert to fraction form
    1,016,460/1,355,096 = 1,355,096/x
  3. Step 3: Cross multiply
    1,016,460x = 1,355,096 × 1,355,096
  4. Step 4: Simplify right side
    1,016,460x = 1,836,285,169,216
  5. Step 5: Solve for x
    x = 1,836,285,169,216/1,016,460
  6. Step 6: Final answer
    x = 1,806,549.37

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.