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Finding the Third Proportional to 1,567,872 and 3,434,680

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Solution

The third proportional to 1,567,872 and 3,434,680 is: 7,524,228.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567,872 : 3,434,680 = 3,434,680 : x
  2. Step 2: Convert to fraction form
    1,567,872/3,434,680 = 3,434,680/x
  3. Step 3: Cross multiply
    1,567,872x = 3,434,680 × 3,434,680
  4. Step 4: Simplify right side
    1,567,872x = 11,797,026,702,400
  5. Step 5: Solve for x
    x = 11,797,026,702,400/1,567,872
  6. Step 6: Final answer
    x = 7,524,228.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.