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Finding the Third Proportional to 693,400 and 1,035,564

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Solution

The third proportional to 693,400 and 1,035,564 is: 1,546,571.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,400 : 1,035,564 = 1,035,564 : x
  2. Step 2: Convert to fraction form
    693,400/1,035,564 = 1,035,564/x
  3. Step 3: Cross multiply
    693,400x = 1,035,564 × 1,035,564
  4. Step 4: Simplify right side
    693,400x = 1,072,392,798,096
  5. Step 5: Solve for x
    x = 1,072,392,798,096/693,400
  6. Step 6: Final answer
    x = 1,546,571.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.