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Finding the Third Proportional to 523,260 and 1,223,586

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Solution

The third proportional to 523,260 and 1,223,586 is: 2,861,221.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,260 : 1,223,586 = 1,223,586 : x
  2. Step 2: Convert to fraction form
    523,260/1,223,586 = 1,223,586/x
  3. Step 3: Cross multiply
    523,260x = 1,223,586 × 1,223,586
  4. Step 4: Simplify right side
    523,260x = 1,497,162,699,396
  5. Step 5: Solve for x
    x = 1,497,162,699,396/523,260
  6. Step 6: Final answer
    x = 2,861,221.38

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.