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Finding the Third Proportional to 1,780,256 and 3,845,616

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Solution

The third proportional to 1,780,256 and 3,845,616 is: 8,307,098.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780,256 : 3,845,616 = 3,845,616 : x
  2. Step 2: Convert to fraction form
    1,780,256/3,845,616 = 3,845,616/x
  3. Step 3: Cross multiply
    1,780,256x = 3,845,616 × 3,845,616
  4. Step 4: Simplify right side
    1,780,256x = 14,788,762,419,456
  5. Step 5: Solve for x
    x = 14,788,762,419,456/1,780,256
  6. Step 6: Final answer
    x = 8,307,098.77

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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.