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Finding the Third Proportional to 788,072 and 1,686,736

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Solution

The third proportional to 788,072 and 1,686,736 is: 3,610,175.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,072 : 1,686,736 = 1,686,736 : x
  2. Step 2: Convert to fraction form
    788,072/1,686,736 = 1,686,736/x
  3. Step 3: Cross multiply
    788,072x = 1,686,736 × 1,686,736
  4. Step 4: Simplify right side
    788,072x = 2,845,078,333,696
  5. Step 5: Solve for x
    x = 2,845,078,333,696/788,072
  6. Step 6: Final answer
    x = 3,610,175.64

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.