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Finding the Third Proportional to 789,034 and 1,703,966

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Solution

The third proportional to 789,034 and 1,703,966 is: 3,679,816.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,034 : 1,703,966 = 1,703,966 : x
  2. Step 2: Convert to fraction form
    789,034/1,703,966 = 1,703,966/x
  3. Step 3: Cross multiply
    789,034x = 1,703,966 × 1,703,966
  4. Step 4: Simplify right side
    789,034x = 2,903,500,129,156
  5. Step 5: Solve for x
    x = 2,903,500,129,156/789,034
  6. Step 6: Final answer
    x = 3,679,816.24

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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.