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Finding the Third Proportional to 777,916 and 1,663,592

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Solution

The third proportional to 777,916 and 1,663,592 is: 3,557,631.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,916 : 1,663,592 = 1,663,592 : x
  2. Step 2: Convert to fraction form
    777,916/1,663,592 = 1,663,592/x
  3. Step 3: Cross multiply
    777,916x = 1,663,592 × 1,663,592
  4. Step 4: Simplify right side
    777,916x = 2,767,538,342,464
  5. Step 5: Solve for x
    x = 2,767,538,342,464/777,916
  6. Step 6: Final answer
    x = 3,557,631.34

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.