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Finding the Third Proportional to 538,134 and 1,170,852

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Solution

The third proportional to 538,134 and 1,170,852 is: 2,547,496.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,134 : 1,170,852 = 1,170,852 : x
  2. Step 2: Convert to fraction form
    538,134/1,170,852 = 1,170,852/x
  3. Step 3: Cross multiply
    538,134x = 1,170,852 × 1,170,852
  4. Step 4: Simplify right side
    538,134x = 1,370,894,405,904
  5. Step 5: Solve for x
    x = 1,370,894,405,904/538,134
  6. Step 6: Final answer
    x = 2,547,496.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.