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Finding the Third Proportional to 851,663 and 1,828,876

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Solution

The third proportional to 851,663 and 1,828,876 is: 3,927,360.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,663 : 1,828,876 = 1,828,876 : x
  2. Step 2: Convert to fraction form
    851,663/1,828,876 = 1,828,876/x
  3. Step 3: Cross multiply
    851,663x = 1,828,876 × 1,828,876
  4. Step 4: Simplify right side
    851,663x = 3,344,787,423,376
  5. Step 5: Solve for x
    x = 3,344,787,423,376/851,663
  6. Step 6: Final answer
    x = 3,927,360.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.