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Finding the Third Proportional to 728,682 and 1,018,974

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Solution

The third proportional to 728,682 and 1,018,974 is: 1,424,912.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,682 : 1,018,974 = 1,018,974 : x
  2. Step 2: Convert to fraction form
    728,682/1,018,974 = 1,018,974/x
  3. Step 3: Cross multiply
    728,682x = 1,018,974 × 1,018,974
  4. Step 4: Simplify right side
    728,682x = 1,038,308,012,676
  5. Step 5: Solve for x
    x = 1,038,308,012,676/728,682
  6. Step 6: Final answer
    x = 1,424,912.39

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.