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Finding the Third Proportional to 786,239 and 1,705,966

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Solution

The third proportional to 786,239 and 1,705,966 is: 3,701,571.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,239 : 1,705,966 = 1,705,966 : x
  2. Step 2: Convert to fraction form
    786,239/1,705,966 = 1,705,966/x
  3. Step 3: Cross multiply
    786,239x = 1,705,966 × 1,705,966
  4. Step 4: Simplify right side
    786,239x = 2,910,319,993,156
  5. Step 5: Solve for x
    x = 2,910,319,993,156/786,239
  6. Step 6: Final answer
    x = 3,701,571.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.