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Finding the Third Proportional to 1,340,340 and 2,936,543

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Solution

The third proportional to 1,340,340 and 2,936,543 is: 6,433,654.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340,340 : 2,936,543 = 2,936,543 : x
  2. Step 2: Convert to fraction form
    1,340,340/2,936,543 = 2,936,543/x
  3. Step 3: Cross multiply
    1,340,340x = 2,936,543 × 2,936,543
  4. Step 4: Simplify right side
    1,340,340x = 8,623,284,790,849
  5. Step 5: Solve for x
    x = 8,623,284,790,849/1,340,340
  6. Step 6: Final answer
    x = 6,433,654.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.