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Finding the Third Proportional to 541,994 and 1,180,498

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Solution

The third proportional to 541,994 and 1,180,498 is: 2,571,201.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,994 : 1,180,498 = 1,180,498 : x
  2. Step 2: Convert to fraction form
    541,994/1,180,498 = 1,180,498/x
  3. Step 3: Cross multiply
    541,994x = 1,180,498 × 1,180,498
  4. Step 4: Simplify right side
    541,994x = 1,393,575,528,004
  5. Step 5: Solve for x
    x = 1,393,575,528,004/541,994
  6. Step 6: Final answer
    x = 2,571,201.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.