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Finding the Third Proportional to 786,978 and 1,685,576

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Solution

The third proportional to 786,978 and 1,685,576 is: 3,610,223.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,978 : 1,685,576 = 1,685,576 : x
  2. Step 2: Convert to fraction form
    786,978/1,685,576 = 1,685,576/x
  3. Step 3: Cross multiply
    786,978x = 1,685,576 × 1,685,576
  4. Step 4: Simplify right side
    786,978x = 2,841,166,451,776
  5. Step 5: Solve for x
    x = 2,841,166,451,776/786,978
  6. Step 6: Final answer
    x = 3,610,223.48

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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.