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Finding the Third Proportional to 751,015 and 1,564,184

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Solution

The third proportional to 751,015 and 1,564,184 is: 3,257,819.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    751,015 : 1,564,184 = 1,564,184 : x
  2. Step 2: Convert to fraction form
    751,015/1,564,184 = 1,564,184/x
  3. Step 3: Cross multiply
    751,015x = 1,564,184 × 1,564,184
  4. Step 4: Simplify right side
    751,015x = 2,446,671,585,856
  5. Step 5: Solve for x
    x = 2,446,671,585,856/751,015
  6. Step 6: Final answer
    x = 3,257,819.86

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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.