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Finding the Third Proportional to 560,116 and 1,229,096

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Solution

The third proportional to 560,116 and 1,229,096 is: 2,697,078.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,116 : 1,229,096 = 1,229,096 : x
  2. Step 2: Convert to fraction form
    560,116/1,229,096 = 1,229,096/x
  3. Step 3: Cross multiply
    560,116x = 1,229,096 × 1,229,096
  4. Step 4: Simplify right side
    560,116x = 1,510,676,977,216
  5. Step 5: Solve for x
    x = 1,510,676,977,216/560,116
  6. Step 6: Final answer
    x = 2,697,078.78

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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.