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Finding the Third Proportional to 612,114 and 1,332,645

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Solution

The third proportional to 612,114 and 1,332,645 is: 2,901,326.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,114 : 1,332,645 = 1,332,645 : x
  2. Step 2: Convert to fraction form
    612,114/1,332,645 = 1,332,645/x
  3. Step 3: Cross multiply
    612,114x = 1,332,645 × 1,332,645
  4. Step 4: Simplify right side
    612,114x = 1,775,942,696,025
  5. Step 5: Solve for x
    x = 1,775,942,696,025/612,114
  6. Step 6: Final answer
    x = 2,901,326.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.