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Finding the Third Proportional to 4,397,546 and 6,727,097

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Solution

The third proportional to 4,397,546 and 6,727,097 is: 10,290,701.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,397,546 : 6,727,097 = 6,727,097 : x
  2. Step 2: Convert to fraction form
    4,397,546/6,727,097 = 6,727,097/x
  3. Step 3: Cross multiply
    4,397,546x = 6,727,097 × 6,727,097
  4. Step 4: Simplify right side
    4,397,546x = 45,253,834,047,409
  5. Step 5: Solve for x
    x = 45,253,834,047,409/4,397,546
  6. Step 6: Final answer
    x = 10,290,701.69

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.