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Finding the Third Proportional to 3,141,909 and 4,915,041

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Solution

The third proportional to 3,141,909 and 4,915,041 is: 7,688,837.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141,909 : 4,915,041 = 4,915,041 : x
  2. Step 2: Convert to fraction form
    3,141,909/4,915,041 = 4,915,041/x
  3. Step 3: Cross multiply
    3,141,909x = 4,915,041 × 4,915,041
  4. Step 4: Simplify right side
    3,141,909x = 24,157,628,031,681
  5. Step 5: Solve for x
    x = 24,157,628,031,681/3,141,909
  6. Step 6: Final answer
    x = 7,688,837.59

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.