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Finding the Third Proportional to 1,782,317 and 3,848,723

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Solution

The third proportional to 1,782,317 and 3,848,723 is: 8,310,905.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782,317 : 3,848,723 = 3,848,723 : x
  2. Step 2: Convert to fraction form
    1,782,317/3,848,723 = 3,848,723/x
  3. Step 3: Cross multiply
    1,782,317x = 3,848,723 × 3,848,723
  4. Step 4: Simplify right side
    1,782,317x = 14,812,668,730,729
  5. Step 5: Solve for x
    x = 14,812,668,730,729/1,782,317
  6. Step 6: Final answer
    x = 8,310,905.82

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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.