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Finding the Third Proportional to 832,356 and 1,795,824

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Solution

The third proportional to 832,356 and 1,795,824 is: 3,874,524.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,356 : 1,795,824 = 1,795,824 : x
  2. Step 2: Convert to fraction form
    832,356/1,795,824 = 1,795,824/x
  3. Step 3: Cross multiply
    832,356x = 1,795,824 × 1,795,824
  4. Step 4: Simplify right side
    832,356x = 3,224,983,838,976
  5. Step 5: Solve for x
    x = 3,224,983,838,976/832,356
  6. Step 6: Final answer
    x = 3,874,524.65

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.