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Finding the Third Proportional to 986,934 and 2,152,353

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Solution

The third proportional to 986,934 and 2,152,353 is: 4,693,954.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,934 : 2,152,353 = 2,152,353 : x
  2. Step 2: Convert to fraction form
    986,934/2,152,353 = 2,152,353/x
  3. Step 3: Cross multiply
    986,934x = 2,152,353 × 2,152,353
  4. Step 4: Simplify right side
    986,934x = 4,632,623,436,609
  5. Step 5: Solve for x
    x = 4,632,623,436,609/986,934
  6. Step 6: Final answer
    x = 4,693,954.65

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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.