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Finding the Third Proportional to 4,414,097 and 6,837,659

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Solution

The third proportional to 4,414,097 and 6,837,659 is: 10,591,878.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,414,097 : 6,837,659 = 6,837,659 : x
  2. Step 2: Convert to fraction form
    4,414,097/6,837,659 = 6,837,659/x
  3. Step 3: Cross multiply
    4,414,097x = 6,837,659 × 6,837,659
  4. Step 4: Simplify right side
    4,414,097x = 46,753,580,600,281
  5. Step 5: Solve for x
    x = 46,753,580,600,281/4,414,097
  6. Step 6: Final answer
    x = 10,591,878.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.