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Finding the Third Proportional to 1,077,969 and 2,347,182

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Solution

The third proportional to 1,077,969 and 2,347,182 is: 5,110,780.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077,969 : 2,347,182 = 2,347,182 : x
  2. Step 2: Convert to fraction form
    1,077,969/2,347,182 = 2,347,182/x
  3. Step 3: Cross multiply
    1,077,969x = 2,347,182 × 2,347,182
  4. Step 4: Simplify right side
    1,077,969x = 5,509,263,341,124
  5. Step 5: Solve for x
    x = 5,509,263,341,124/1,077,969
  6. Step 6: Final answer
    x = 5,110,780.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.