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Finding the Third Proportional to 560,751 and 1,233,600

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Solution

The third proportional to 560,751 and 1,233,600 is: 2,713,805.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,751 : 1,233,600 = 1,233,600 : x
  2. Step 2: Convert to fraction form
    560,751/1,233,600 = 1,233,600/x
  3. Step 3: Cross multiply
    560,751x = 1,233,600 × 1,233,600
  4. Step 4: Simplify right side
    560,751x = 1,521,768,960,000
  5. Step 5: Solve for x
    x = 1,521,768,960,000/560,751
  6. Step 6: Final answer
    x = 2,713,805.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.