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Finding the Third Proportional to 1,782,326 and 3,848,746

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Solution

The third proportional to 1,782,326 and 3,848,746 is: 8,310,963.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782,326 : 3,848,746 = 3,848,746 : x
  2. Step 2: Convert to fraction form
    1,782,326/3,848,746 = 3,848,746/x
  3. Step 3: Cross multiply
    1,782,326x = 3,848,746 × 3,848,746
  4. Step 4: Simplify right side
    1,782,326x = 14,812,845,772,516
  5. Step 5: Solve for x
    x = 14,812,845,772,516/1,782,326
  6. Step 6: Final answer
    x = 8,310,963.19

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