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Finding the Third Proportional to 1,253,512 and 1,909,636

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Solution

The third proportional to 1,253,512 and 1,909,636 is: 2,909,194.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253,512 : 1,909,636 = 1,909,636 : x
  2. Step 2: Convert to fraction form
    1,253,512/1,909,636 = 1,909,636/x
  3. Step 3: Cross multiply
    1,253,512x = 1,909,636 × 1,909,636
  4. Step 4: Simplify right side
    1,253,512x = 3,646,709,652,496
  5. Step 5: Solve for x
    x = 3,646,709,652,496/1,253,512
  6. Step 6: Final answer
    x = 2,909,194.05

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.