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Finding the Third Proportional to 688,041 and 1,554,462

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Solution

The third proportional to 688,041 and 1,554,462 is: 3,511,930.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,041 : 1,554,462 = 1,554,462 : x
  2. Step 2: Convert to fraction form
    688,041/1,554,462 = 1,554,462/x
  3. Step 3: Cross multiply
    688,041x = 1,554,462 × 1,554,462
  4. Step 4: Simplify right side
    688,041x = 2,416,352,109,444
  5. Step 5: Solve for x
    x = 2,416,352,109,444/688,041
  6. Step 6: Final answer
    x = 3,511,930.41

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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.