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Finding the Third Proportional to 560,024 and 1,228,914

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Solution

The third proportional to 560,024 and 1,228,914 is: 2,696,723.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,024 : 1,228,914 = 1,228,914 : x
  2. Step 2: Convert to fraction form
    560,024/1,228,914 = 1,228,914/x
  3. Step 3: Cross multiply
    560,024x = 1,228,914 × 1,228,914
  4. Step 4: Simplify right side
    560,024x = 1,510,229,619,396
  5. Step 5: Solve for x
    x = 1,510,229,619,396/560,024
  6. Step 6: Final answer
    x = 2,696,723.03

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.