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Finding the Third Proportional to 565,570 and 1,212,097

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Solution

The third proportional to 565,570 and 1,212,097 is: 2,597,696.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,570 : 1,212,097 = 1,212,097 : x
  2. Step 2: Convert to fraction form
    565,570/1,212,097 = 1,212,097/x
  3. Step 3: Cross multiply
    565,570x = 1,212,097 × 1,212,097
  4. Step 4: Simplify right side
    565,570x = 1,469,179,137,409
  5. Step 5: Solve for x
    x = 1,469,179,137,409/565,570
  6. Step 6: Final answer
    x = 2,597,696.37

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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.