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Finding the Third Proportional to 538,276 and 1,168,136

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Solution

The third proportional to 538,276 and 1,168,136 is: 2,535,022.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,276 : 1,168,136 = 1,168,136 : x
  2. Step 2: Convert to fraction form
    538,276/1,168,136 = 1,168,136/x
  3. Step 3: Cross multiply
    538,276x = 1,168,136 × 1,168,136
  4. Step 4: Simplify right side
    538,276x = 1,364,541,714,496
  5. Step 5: Solve for x
    x = 1,364,541,714,496/538,276
  6. Step 6: Final answer
    x = 2,535,022.39

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Why These Related Problems?

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