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Finding the Third Proportional to 559,322 and 839,043

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Solution

The third proportional to 559,322 and 839,043 is: 1,258,654.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,322 : 839,043 = 839,043 : x
  2. Step 2: Convert to fraction form
    559,322/839,043 = 839,043/x
  3. Step 3: Cross multiply
    559,322x = 839,043 × 839,043
  4. Step 4: Simplify right side
    559,322x = 703,993,155,849
  5. Step 5: Solve for x
    x = 703,993,155,849/559,322
  6. Step 6: Final answer
    x = 1,258,654.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.