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Finding the Third Proportional to 1,016,824 and 2,168,756

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Solution

The third proportional to 1,016,824 and 2,168,756 is: 4,625,680.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016,824 : 2,168,756 = 2,168,756 : x
  2. Step 2: Convert to fraction form
    1,016,824/2,168,756 = 2,168,756/x
  3. Step 3: Cross multiply
    1,016,824x = 2,168,756 × 2,168,756
  4. Step 4: Simplify right side
    1,016,824x = 4,703,502,587,536
  5. Step 5: Solve for x
    x = 4,703,502,587,536/1,016,824
  6. Step 6: Final answer
    x = 4,625,680.14

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.