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Finding the Third Proportional to 524,034 and 1,089,540

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Solution

The third proportional to 524,034 and 1,089,540 is: 2,265,306.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,034 : 1,089,540 = 1,089,540 : x
  2. Step 2: Convert to fraction form
    524,034/1,089,540 = 1,089,540/x
  3. Step 3: Cross multiply
    524,034x = 1,089,540 × 1,089,540
  4. Step 4: Simplify right side
    524,034x = 1,187,097,411,600
  5. Step 5: Solve for x
    x = 1,187,097,411,600/524,034
  6. Step 6: Final answer
    x = 2,265,306.09

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.