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Finding the Third Proportional to 581,488 and 1,273,568

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Solution

The third proportional to 581,488 and 1,273,568 is: 2,789,353.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,488 : 1,273,568 = 1,273,568 : x
  2. Step 2: Convert to fraction form
    581,488/1,273,568 = 1,273,568/x
  3. Step 3: Cross multiply
    581,488x = 1,273,568 × 1,273,568
  4. Step 4: Simplify right side
    581,488x = 1,621,975,450,624
  5. Step 5: Solve for x
    x = 1,621,975,450,624/581,488
  6. Step 6: Final answer
    x = 2,789,353.26

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.