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Finding the Third Proportional to 538,136 and 1,170,856

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Solution

The third proportional to 538,136 and 1,170,856 is: 2,547,504.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,136 : 1,170,856 = 1,170,856 : x
  2. Step 2: Convert to fraction form
    538,136/1,170,856 = 1,170,856/x
  3. Step 3: Cross multiply
    538,136x = 1,170,856 × 1,170,856
  4. Step 4: Simplify right side
    538,136x = 1,370,903,772,736
  5. Step 5: Solve for x
    x = 1,370,903,772,736/538,136
  6. Step 6: Final answer
    x = 2,547,504.30

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