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Finding the Third Proportional to 786,884 and 1,685,962

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Solution

The third proportional to 786,884 and 1,685,962 is: 3,612,308.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,884 : 1,685,962 = 1,685,962 : x
  2. Step 2: Convert to fraction form
    786,884/1,685,962 = 1,685,962/x
  3. Step 3: Cross multiply
    786,884x = 1,685,962 × 1,685,962
  4. Step 4: Simplify right side
    786,884x = 2,842,467,865,444
  5. Step 5: Solve for x
    x = 2,842,467,865,444/786,884
  6. Step 6: Final answer
    x = 3,612,308.63

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.