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Finding the Third Proportional to 789,038 and 1,116,471

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Solution

The third proportional to 789,038 and 1,116,471 is: 1,579,781.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,038 : 1,116,471 = 1,116,471 : x
  2. Step 2: Convert to fraction form
    789,038/1,116,471 = 1,116,471/x
  3. Step 3: Cross multiply
    789,038x = 1,116,471 × 1,116,471
  4. Step 4: Simplify right side
    789,038x = 1,246,507,493,841
  5. Step 5: Solve for x
    x = 1,246,507,493,841/789,038
  6. Step 6: Final answer
    x = 1,579,781.32

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.