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Finding the Third Proportional to 4,344,858 and 6,077,259

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Solution

The third proportional to 4,344,858 and 6,077,259 is: 8,500,410.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,344,858 : 6,077,259 = 6,077,259 : x
  2. Step 2: Convert to fraction form
    4,344,858/6,077,259 = 6,077,259/x
  3. Step 3: Cross multiply
    4,344,858x = 6,077,259 × 6,077,259
  4. Step 4: Simplify right side
    4,344,858x = 36,933,076,953,081
  5. Step 5: Solve for x
    x = 36,933,076,953,081/4,344,858
  6. Step 6: Final answer
    x = 8,500,410.59

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.