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Finding the Third Proportional to 544,698 and 1,164,172.50

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Solution

The third proportional to 544,698 and 1,164,172.50 is: 2,488,163.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,698 : 1,164,172.50 = 1,164,172.50 : x
  2. Step 2: Convert to fraction form
    544,698/1,164,172.50 = 1,164,172.50/x
  3. Step 3: Cross multiply
    544,698x = 1,164,172.50 × 1,164,172.50
  4. Step 4: Simplify right side
    544,698x = 1,355,297,609,756.25
  5. Step 5: Solve for x
    x = 1,355,297,609,756.25/544,698
  6. Step 6: Final answer
    x = 2,488,163.37

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Why These Related Problems?

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