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Finding the Third Proportional to 1,069,824 and 2,308,174

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Solution

The third proportional to 1,069,824 and 2,308,174 is: 4,979,947.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069,824 : 2,308,174 = 2,308,174 : x
  2. Step 2: Convert to fraction form
    1,069,824/2,308,174 = 2,308,174/x
  3. Step 3: Cross multiply
    1,069,824x = 2,308,174 × 2,308,174
  4. Step 4: Simplify right side
    1,069,824x = 5,327,667,214,276
  5. Step 5: Solve for x
    x = 5,327,667,214,276/1,069,824
  6. Step 6: Final answer
    x = 4,979,947.37

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.