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Finding the Third Proportional to 751,016 and 1,564,186

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Solution

The third proportional to 751,016 and 1,564,186 is: 3,257,823.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    751,016 : 1,564,186 = 1,564,186 : x
  2. Step 2: Convert to fraction form
    751,016/1,564,186 = 1,564,186/x
  3. Step 3: Cross multiply
    751,016x = 1,564,186 × 1,564,186
  4. Step 4: Simplify right side
    751,016x = 2,446,677,842,596
  5. Step 5: Solve for x
    x = 2,446,677,842,596/751,016
  6. Step 6: Final answer
    x = 3,257,823.86

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.