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Finding the Third Proportional to 1,380,636 and 2,966,200

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Solution

The third proportional to 1,380,636 and 2,966,200 is: 6,372,673.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380,636 : 2,966,200 = 2,966,200 : x
  2. Step 2: Convert to fraction form
    1,380,636/2,966,200 = 2,966,200/x
  3. Step 3: Cross multiply
    1,380,636x = 2,966,200 × 2,966,200
  4. Step 4: Simplify right side
    1,380,636x = 8,798,342,440,000
  5. Step 5: Solve for x
    x = 8,798,342,440,000/1,380,636
  6. Step 6: Final answer
    x = 6,372,673.49

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.