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Finding the Third Proportional to 851,653 and 1,799,266

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Solution

The third proportional to 851,653 and 1,799,266 is: 3,801,264.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,653 : 1,799,266 = 1,799,266 : x
  2. Step 2: Convert to fraction form
    851,653/1,799,266 = 1,799,266/x
  3. Step 3: Cross multiply
    851,653x = 1,799,266 × 1,799,266
  4. Step 4: Simplify right side
    851,653x = 3,237,358,138,756
  5. Step 5: Solve for x
    x = 3,237,358,138,756/851,653
  6. Step 6: Final answer
    x = 3,801,264.29

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.