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Finding the Third Proportional to 4,272,207 and 6,409,161

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Solution

The third proportional to 4,272,207 and 6,409,161 is: 9,615,017.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,272,207 : 6,409,161 = 6,409,161 : x
  2. Step 2: Convert to fraction form
    4,272,207/6,409,161 = 6,409,161/x
  3. Step 3: Cross multiply
    4,272,207x = 6,409,161 × 6,409,161
  4. Step 4: Simplify right side
    4,272,207x = 41,077,344,723,921
  5. Step 5: Solve for x
    x = 41,077,344,723,921/4,272,207
  6. Step 6: Final answer
    x = 9,615,017.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.