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Finding the Third Proportional to 851,814 and 1,821,817

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Solution

The third proportional to 851,814 and 1,821,817 is: 3,896,410.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,814 : 1,821,817 = 1,821,817 : x
  2. Step 2: Convert to fraction form
    851,814/1,821,817 = 1,821,817/x
  3. Step 3: Cross multiply
    851,814x = 1,821,817 × 1,821,817
  4. Step 4: Simplify right side
    851,814x = 3,319,017,181,489
  5. Step 5: Solve for x
    x = 3,319,017,181,489/851,814
  6. Step 6: Final answer
    x = 3,896,410.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.