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Finding the Third Proportional to 789,038 and 1,703,974

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Solution

The third proportional to 789,038 and 1,703,974 is: 3,679,832.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,038 : 1,703,974 = 1,703,974 : x
  2. Step 2: Convert to fraction form
    789,038/1,703,974 = 1,703,974/x
  3. Step 3: Cross multiply
    789,038x = 1,703,974 × 1,703,974
  4. Step 4: Simplify right side
    789,038x = 2,903,527,392,676
  5. Step 5: Solve for x
    x = 2,903,527,392,676/789,038
  6. Step 6: Final answer
    x = 3,679,832.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.