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Finding the Third Proportional to 751,780 and 1,565,764

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Solution

The third proportional to 751,780 and 1,565,764 is: 3,261,082.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    751,780 : 1,565,764 = 1,565,764 : x
  2. Step 2: Convert to fraction form
    751,780/1,565,764 = 1,565,764/x
  3. Step 3: Cross multiply
    751,780x = 1,565,764 × 1,565,764
  4. Step 4: Simplify right side
    751,780x = 2,451,616,903,696
  5. Step 5: Solve for x
    x = 2,451,616,903,696/751,780
  6. Step 6: Final answer
    x = 3,261,082.90

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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.