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Finding the Third Proportional to 786,237 and 1,705,962

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Solution

The third proportional to 786,237 and 1,705,962 is: 3,701,563.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,237 : 1,705,962 = 1,705,962 : x
  2. Step 2: Convert to fraction form
    786,237/1,705,962 = 1,705,962/x
  3. Step 3: Cross multiply
    786,237x = 1,705,962 × 1,705,962
  4. Step 4: Simplify right side
    786,237x = 2,910,306,345,444
  5. Step 5: Solve for x
    x = 2,910,306,345,444/786,237
  6. Step 6: Final answer
    x = 3,701,563.71

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