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Finding the Third Proportional to 929,935 and 1,971,467

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Solution

The third proportional to 929,935 and 1,971,467 is: 4,179,520.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    929,935 : 1,971,467 = 1,971,467 : x
  2. Step 2: Convert to fraction form
    929,935/1,971,467 = 1,971,467/x
  3. Step 3: Cross multiply
    929,935x = 1,971,467 × 1,971,467
  4. Step 4: Simplify right side
    929,935x = 3,886,682,132,089
  5. Step 5: Solve for x
    x = 3,886,682,132,089/929,935
  6. Step 6: Final answer
    x = 4,179,520.22

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.