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Finding the Third Proportional to 403,964 and 878,866

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Solution

The third proportional to 403,964 and 878,866 is: 1,912,065.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,964 : 878,866 = 878,866 : x
  2. Step 2: Convert to fraction form
    403,964/878,866 = 878,866/x
  3. Step 3: Cross multiply
    403,964x = 878,866 × 878,866
  4. Step 4: Simplify right side
    403,964x = 772,405,445,956
  5. Step 5: Solve for x
    x = 772,405,445,956/403,964
  6. Step 6: Final answer
    x = 1,912,065.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.