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Finding the Third Proportional to 751,752 and 1,165,824

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Solution

The third proportional to 751,752 and 1,165,824 is: 1,807,970.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    751,752 : 1,165,824 = 1,165,824 : x
  2. Step 2: Convert to fraction form
    751,752/1,165,824 = 1,165,824/x
  3. Step 3: Cross multiply
    751,752x = 1,165,824 × 1,165,824
  4. Step 4: Simplify right side
    751,752x = 1,359,145,598,976
  5. Step 5: Solve for x
    x = 1,359,145,598,976/751,752
  6. Step 6: Final answer
    x = 1,807,970.71

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.