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Finding the Third Proportional to 587,906 and 882,651

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Solution

The third proportional to 587,906 and 882,651 is: 1,325,165.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,906 : 882,651 = 882,651 : x
  2. Step 2: Convert to fraction form
    587,906/882,651 = 882,651/x
  3. Step 3: Cross multiply
    587,906x = 882,651 × 882,651
  4. Step 4: Simplify right side
    587,906x = 779,072,787,801
  5. Step 5: Solve for x
    x = 779,072,787,801/587,906
  6. Step 6: Final answer
    x = 1,325,165.57

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Why These Related Problems?

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