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Finding the Third Proportional to 610,206 and 1,312,245

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Solution

The third proportional to 610,206 and 1,312,245 is: 2,821,976.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,206 : 1,312,245 = 1,312,245 : x
  2. Step 2: Convert to fraction form
    610,206/1,312,245 = 1,312,245/x
  3. Step 3: Cross multiply
    610,206x = 1,312,245 × 1,312,245
  4. Step 4: Simplify right side
    610,206x = 1,721,986,940,025
  5. Step 5: Solve for x
    x = 1,721,986,940,025/610,206
  6. Step 6: Final answer
    x = 2,821,976.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.