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Finding the Third Proportional to 728,678 and 1,018,968

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Solution

The third proportional to 728,678 and 1,018,968 is: 1,424,903.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,678 : 1,018,968 = 1,018,968 : x
  2. Step 2: Convert to fraction form
    728,678/1,018,968 = 1,018,968/x
  3. Step 3: Cross multiply
    728,678x = 1,018,968 × 1,018,968
  4. Step 4: Simplify right side
    728,678x = 1,038,295,785,024
  5. Step 5: Solve for x
    x = 1,038,295,785,024/728,678
  6. Step 6: Final answer
    x = 1,424,903.43

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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.