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Finding the Third Proportional to 843,508 and 1,819,880

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Solution

The third proportional to 843,508 and 1,819,880 is: 3,926,415.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,508 : 1,819,880 = 1,819,880 : x
  2. Step 2: Convert to fraction form
    843,508/1,819,880 = 1,819,880/x
  3. Step 3: Cross multiply
    843,508x = 1,819,880 × 1,819,880
  4. Step 4: Simplify right side
    843,508x = 3,311,963,214,400
  5. Step 5: Solve for x
    x = 3,311,963,214,400/843,508
  6. Step 6: Final answer
    x = 3,926,415.89

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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.