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Finding the Third Proportional to 1,691,676 and 3,663,814

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Solution

The third proportional to 1,691,676 and 3,663,814 is: 7,935,049.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691,676 : 3,663,814 = 3,663,814 : x
  2. Step 2: Convert to fraction form
    1,691,676/3,663,814 = 3,663,814/x
  3. Step 3: Cross multiply
    1,691,676x = 3,663,814 × 3,663,814
  4. Step 4: Simplify right side
    1,691,676x = 13,423,533,026,596
  5. Step 5: Solve for x
    x = 13,423,533,026,596/1,691,676
  6. Step 6: Final answer
    x = 7,935,049.64

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.