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Finding the Third Proportional to 4,052,564 and 6,268,221

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Solution

The third proportional to 4,052,564 and 6,268,221 is: 9,695,243.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,052,564 : 6,268,221 = 6,268,221 : x
  2. Step 2: Convert to fraction form
    4,052,564/6,268,221 = 6,268,221/x
  3. Step 3: Cross multiply
    4,052,564x = 6,268,221 × 6,268,221
  4. Step 4: Simplify right side
    4,052,564x = 39,290,594,504,841
  5. Step 5: Solve for x
    x = 39,290,594,504,841/4,052,564
  6. Step 6: Final answer
    x = 9,695,243.43

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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.