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Finding the Third Proportional to 4,272,210 and 6,409,170

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Solution

The third proportional to 4,272,210 and 6,409,170 is: 9,615,037.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,272,210 : 6,409,170 = 6,409,170 : x
  2. Step 2: Convert to fraction form
    4,272,210/6,409,170 = 6,409,170/x
  3. Step 3: Cross multiply
    4,272,210x = 6,409,170 × 6,409,170
  4. Step 4: Simplify right side
    4,272,210x = 41,077,460,088,900
  5. Step 5: Solve for x
    x = 41,077,460,088,900/4,272,210
  6. Step 6: Final answer
    x = 9,615,037.67

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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.