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Finding the Third Proportional to 688,069.50 and 1,554,532.50

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Solution

The third proportional to 688,069.50 and 1,554,532.50 is: 3,512,103.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,069.50 : 1,554,532.50 = 1,554,532.50 : x
  2. Step 2: Convert to fraction form
    688,069.50/1,554,532.50 = 1,554,532.50/x
  3. Step 3: Cross multiply
    688,069.50x = 1,554,532.50 × 1,554,532.50
  4. Step 4: Simplify right side
    688,069.50x = 2,416,571,293,556.25
  5. Step 5: Solve for x
    x = 2,416,571,293,556.25/688,069.50
  6. Step 6: Final answer
    x = 3,512,103.49

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.