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Finding the Third Proportional to 685,900 and 1,507,584

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Solution

The third proportional to 685,900 and 1,507,584 is: 3,313,616.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,900 : 1,507,584 = 1,507,584 : x
  2. Step 2: Convert to fraction form
    685,900/1,507,584 = 1,507,584/x
  3. Step 3: Cross multiply
    685,900x = 1,507,584 × 1,507,584
  4. Step 4: Simplify right side
    685,900x = 2,272,809,517,056
  5. Step 5: Solve for x
    x = 2,272,809,517,056/685,900
  6. Step 6: Final answer
    x = 3,313,616.44

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.