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Finding the Third Proportional to 538,137 and 1,170,858

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Solution

The third proportional to 538,137 and 1,170,858 is: 2,547,508.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,137 : 1,170,858 = 1,170,858 : x
  2. Step 2: Convert to fraction form
    538,137/1,170,858 = 1,170,858/x
  3. Step 3: Cross multiply
    538,137x = 1,170,858 × 1,170,858
  4. Step 4: Simplify right side
    538,137x = 1,370,908,456,164
  5. Step 5: Solve for x
    x = 1,370,908,456,164/538,137
  6. Step 6: Final answer
    x = 2,547,508.27

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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.