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Finding the Third Proportional to 587,904 and 882,648

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Solution

The third proportional to 587,904 and 882,648 is: 1,325,161.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,904 : 882,648 = 882,648 : x
  2. Step 2: Convert to fraction form
    587,904/882,648 = 882,648/x
  3. Step 3: Cross multiply
    587,904x = 882,648 × 882,648
  4. Step 4: Simplify right side
    587,904x = 779,067,491,904
  5. Step 5: Solve for x
    x = 779,067,491,904/587,904
  6. Step 6: Final answer
    x = 1,325,161.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.