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Finding the Third Proportional to 544,851 and 1,187,794.50

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Solution

The third proportional to 544,851 and 1,187,794.50 is: 2,589,434.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,851 : 1,187,794.50 = 1,187,794.50 : x
  2. Step 2: Convert to fraction form
    544,851/1,187,794.50 = 1,187,794.50/x
  3. Step 3: Cross multiply
    544,851x = 1,187,794.50 × 1,187,794.50
  4. Step 4: Simplify right side
    544,851x = 1,410,855,774,230.25
  5. Step 5: Solve for x
    x = 1,410,855,774,230.25/544,851
  6. Step 6: Final answer
    x = 2,589,434.13

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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.