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Finding the Third Proportional to 4,005,295 and 6,205,848

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Solution

The third proportional to 4,005,295 and 6,205,848 is: 9,615,408.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,005,295 : 6,205,848 = 6,205,848 : x
  2. Step 2: Convert to fraction form
    4,005,295/6,205,848 = 6,205,848/x
  3. Step 3: Cross multiply
    4,005,295x = 6,205,848 × 6,205,848
  4. Step 4: Simplify right side
    4,005,295x = 38,512,549,399,104
  5. Step 5: Solve for x
    x = 38,512,549,399,104/4,005,295
  6. Step 6: Final answer
    x = 9,615,408.95

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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.