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Finding the Third Proportional to 538,272 and 1,168,128

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Solution

The third proportional to 538,272 and 1,168,128 is: 2,535,006.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,272 : 1,168,128 = 1,168,128 : x
  2. Step 2: Convert to fraction form
    538,272/1,168,128 = 1,168,128/x
  3. Step 3: Cross multiply
    538,272x = 1,168,128 × 1,168,128
  4. Step 4: Simplify right side
    538,272x = 1,364,523,024,384
  5. Step 5: Solve for x
    x = 1,364,523,024,384/538,272
  6. Step 6: Final answer
    x = 2,535,006.51

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.