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Finding the Third Proportional to 538,733 and 1,178,433

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Solution

The third proportional to 538,733 and 1,178,433 is: 2,577,722.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,733 : 1,178,433 = 1,178,433 : x
  2. Step 2: Convert to fraction form
    538,733/1,178,433 = 1,178,433/x
  3. Step 3: Cross multiply
    538,733x = 1,178,433 × 1,178,433
  4. Step 4: Simplify right side
    538,733x = 1,388,704,335,489
  5. Step 5: Solve for x
    x = 1,388,704,335,489/538,733
  6. Step 6: Final answer
    x = 2,577,722.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.