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Finding the Third Proportional to 542,685 and 1,100,148

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Solution

The third proportional to 542,685 and 1,100,148 is: 2,230,254.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,685 : 1,100,148 = 1,100,148 : x
  2. Step 2: Convert to fraction form
    542,685/1,100,148 = 1,100,148/x
  3. Step 3: Cross multiply
    542,685x = 1,100,148 × 1,100,148
  4. Step 4: Simplify right side
    542,685x = 1,210,325,621,904
  5. Step 5: Solve for x
    x = 1,210,325,621,904/542,685
  6. Step 6: Final answer
    x = 2,230,254.42

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.