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Finding the Third Proportional to 789,168 and 1,704,464

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Solution

The third proportional to 789,168 and 1,704,464 is: 3,681,342.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,168 : 1,704,464 = 1,704,464 : x
  2. Step 2: Convert to fraction form
    789,168/1,704,464 = 1,704,464/x
  3. Step 3: Cross multiply
    789,168x = 1,704,464 × 1,704,464
  4. Step 4: Simplify right side
    789,168x = 2,905,197,527,296
  5. Step 5: Solve for x
    x = 2,905,197,527,296/789,168
  6. Step 6: Final answer
    x = 3,681,342.28

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