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Finding the Third Proportional to 785,769 and 1,715,469

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Solution

The third proportional to 785,769 and 1,715,469 is: 3,745,164.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,769 : 1,715,469 = 1,715,469 : x
  2. Step 2: Convert to fraction form
    785,769/1,715,469 = 1,715,469/x
  3. Step 3: Cross multiply
    785,769x = 1,715,469 × 1,715,469
  4. Step 4: Simplify right side
    785,769x = 2,942,833,889,961
  5. Step 5: Solve for x
    x = 2,942,833,889,961/785,769
  6. Step 6: Final answer
    x = 3,745,164.15

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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.