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Finding the Third Proportional to 3,534,736 and 5,606,097

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Solution

The third proportional to 3,534,736 and 5,606,097 is: 8,891,278.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534,736 : 5,606,097 = 5,606,097 : x
  2. Step 2: Convert to fraction form
    3,534,736/5,606,097 = 5,606,097/x
  3. Step 3: Cross multiply
    3,534,736x = 5,606,097 × 5,606,097
  4. Step 4: Simplify right side
    3,534,736x = 31,428,323,573,409
  5. Step 5: Solve for x
    x = 31,428,323,573,409/3,534,736
  6. Step 6: Final answer
    x = 8,891,278.89

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.