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Finding the Third Proportional to 777,539 and 1,217,097

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Solution

The third proportional to 777,539 and 1,217,097 is: 1,905,145.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,539 : 1,217,097 = 1,217,097 : x
  2. Step 2: Convert to fraction form
    777,539/1,217,097 = 1,217,097/x
  3. Step 3: Cross multiply
    777,539x = 1,217,097 × 1,217,097
  4. Step 4: Simplify right side
    777,539x = 1,481,325,107,409
  5. Step 5: Solve for x
    x = 1,481,325,107,409/777,539
  6. Step 6: Final answer
    x = 1,905,145.73

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.