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Finding the Third Proportional to 552,597 and 1,163,880

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Solution

The third proportional to 552,597 and 1,163,880 is: 2,451,364.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,597 : 1,163,880 = 1,163,880 : x
  2. Step 2: Convert to fraction form
    552,597/1,163,880 = 1,163,880/x
  3. Step 3: Cross multiply
    552,597x = 1,163,880 × 1,163,880
  4. Step 4: Simplify right side
    552,597x = 1,354,616,654,400
  5. Step 5: Solve for x
    x = 1,354,616,654,400/552,597
  6. Step 6: Final answer
    x = 2,451,364.47

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.