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Finding the Third Proportional to 419,102,704.50 and 881,645,791.50

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Solution

The third proportional to 419,102,704.50 and 881,645,791.50 is: 1,854,674,983.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,102,704.50 : 881,645,791.50 = 881,645,791.50 : x
  2. Step 2: Convert to fraction form
    419,102,704.50/881,645,791.50 = 881,645,791.50/x
  3. Step 3: Cross multiply
    419,102,704.50x = 881,645,791.50 × 881,645,791.50
  4. Step 4: Simplify right side
    419,102,704.50x = 777,299,301,669,661,440
  5. Step 5: Solve for x
    x = 777,299,301,669,661,440/419,102,704.50
  6. Step 6: Final answer
    x = 1,854,674,983.78

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.