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Finding the Third Proportional to 789,534 and 1,736,496

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Solution

The third proportional to 789,534 and 1,736,496 is: 3,819,238.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,534 : 1,736,496 = 1,736,496 : x
  2. Step 2: Convert to fraction form
    789,534/1,736,496 = 1,736,496/x
  3. Step 3: Cross multiply
    789,534x = 1,736,496 × 1,736,496
  4. Step 4: Simplify right side
    789,534x = 3,015,418,358,016
  5. Step 5: Solve for x
    x = 3,015,418,358,016/789,534
  6. Step 6: Final answer
    x = 3,819,238.13

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.