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Finding the Third Proportional to 758,196 and 1,633,896

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Solution

The third proportional to 758,196 and 1,633,896 is: 3,521,010.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,196 : 1,633,896 = 1,633,896 : x
  2. Step 2: Convert to fraction form
    758,196/1,633,896 = 1,633,896/x
  3. Step 3: Cross multiply
    758,196x = 1,633,896 × 1,633,896
  4. Step 4: Simplify right side
    758,196x = 2,669,616,138,816
  5. Step 5: Solve for x
    x = 2,669,616,138,816/758,196
  6. Step 6: Final answer
    x = 3,521,010.58

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.