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Finding the Third Proportional to 840,340 and 1,224,400

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Solution

The third proportional to 840,340 and 1,224,400 is: 1,783,986.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,340 : 1,224,400 = 1,224,400 : x
  2. Step 2: Convert to fraction form
    840,340/1,224,400 = 1,224,400/x
  3. Step 3: Cross multiply
    840,340x = 1,224,400 × 1,224,400
  4. Step 4: Simplify right side
    840,340x = 1,499,155,360,000
  5. Step 5: Solve for x
    x = 1,499,155,360,000/840,340
  6. Step 6: Final answer
    x = 1,783,986.67

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.