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Finding the Third Proportional to 777,012 and 1,681,704.75

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Solution

The third proportional to 777,012 and 1,681,704.75 is: 3,639,751.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,012 : 1,681,704.75 = 1,681,704.75 : x
  2. Step 2: Convert to fraction form
    777,012/1,681,704.75 = 1,681,704.75/x
  3. Step 3: Cross multiply
    777,012x = 1,681,704.75 × 1,681,704.75
  4. Step 4: Simplify right side
    777,012x = 2,828,130,866,172.56
  5. Step 5: Solve for x
    x = 2,828,130,866,172.56/777,012
  6. Step 6: Final answer
    x = 3,639,751.85

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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.