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Finding the Third Proportional to 401,769 and 891,650

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Solution

The third proportional to 401,769 and 891,650 is: 1,978,847.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,769 : 891,650 = 891,650 : x
  2. Step 2: Convert to fraction form
    401,769/891,650 = 891,650/x
  3. Step 3: Cross multiply
    401,769x = 891,650 × 891,650
  4. Step 4: Simplify right side
    401,769x = 795,039,722,500
  5. Step 5: Solve for x
    x = 795,039,722,500/401,769
  6. Step 6: Final answer
    x = 1,978,847.85

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.