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Finding the Third Proportional to 680,956 and 1,030,914

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Solution

The third proportional to 680,956 and 1,030,914 is: 1,560,722.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,956 : 1,030,914 = 1,030,914 : x
  2. Step 2: Convert to fraction form
    680,956/1,030,914 = 1,030,914/x
  3. Step 3: Cross multiply
    680,956x = 1,030,914 × 1,030,914
  4. Step 4: Simplify right side
    680,956x = 1,062,783,675,396
  5. Step 5: Solve for x
    x = 1,062,783,675,396/680,956
  6. Step 6: Final answer
    x = 1,560,722.98

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.