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Finding the Third Proportional to 1,691,742 and 3,662,264

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Solution

The third proportional to 1,691,742 and 3,662,264 is: 7,928,027.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691,742 : 3,662,264 = 3,662,264 : x
  2. Step 2: Convert to fraction form
    1,691,742/3,662,264 = 3,662,264/x
  3. Step 3: Cross multiply
    1,691,742x = 3,662,264 × 3,662,264
  4. Step 4: Simplify right side
    1,691,742x = 13,412,177,605,696
  5. Step 5: Solve for x
    x = 13,412,177,605,696/1,691,742
  6. Step 6: Final answer
    x = 7,928,027.80

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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.