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Finding the Third Proportional to 641,412 and 1,385,520

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Solution

The third proportional to 641,412 and 1,385,520 is: 2,992,874.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,412 : 1,385,520 = 1,385,520 : x
  2. Step 2: Convert to fraction form
    641,412/1,385,520 = 1,385,520/x
  3. Step 3: Cross multiply
    641,412x = 1,385,520 × 1,385,520
  4. Step 4: Simplify right side
    641,412x = 1,919,665,670,400
  5. Step 5: Solve for x
    x = 1,919,665,670,400/641,412
  6. Step 6: Final answer
    x = 2,992,874.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.