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Finding the Third Proportional to 1,077,872 and 2,347,106

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Solution

The third proportional to 1,077,872 and 2,347,106 is: 5,110,909.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077,872 : 2,347,106 = 2,347,106 : x
  2. Step 2: Convert to fraction form
    1,077,872/2,347,106 = 2,347,106/x
  3. Step 3: Cross multiply
    1,077,872x = 2,347,106 × 2,347,106
  4. Step 4: Simplify right side
    1,077,872x = 5,508,906,575,236
  5. Step 5: Solve for x
    x = 5,508,906,575,236/1,077,872
  6. Step 6: Final answer
    x = 5,110,909.81

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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.