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Finding the Third Proportional to 528,296 and 1,152,880

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Solution

The third proportional to 528,296 and 1,152,880 is: 2,515,885.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,296 : 1,152,880 = 1,152,880 : x
  2. Step 2: Convert to fraction form
    528,296/1,152,880 = 1,152,880/x
  3. Step 3: Cross multiply
    528,296x = 1,152,880 × 1,152,880
  4. Step 4: Simplify right side
    528,296x = 1,329,132,294,400
  5. Step 5: Solve for x
    x = 1,329,132,294,400/528,296
  6. Step 6: Final answer
    x = 2,515,885.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.