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Finding the Third Proportional to 784,492 and 1,693,400

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Solution

The third proportional to 784,492 and 1,693,400 is: 3,655,363.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,492 : 1,693,400 = 1,693,400 : x
  2. Step 2: Convert to fraction form
    784,492/1,693,400 = 1,693,400/x
  3. Step 3: Cross multiply
    784,492x = 1,693,400 × 1,693,400
  4. Step 4: Simplify right side
    784,492x = 2,867,603,560,000
  5. Step 5: Solve for x
    x = 2,867,603,560,000/784,492
  6. Step 6: Final answer
    x = 3,655,363.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.