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Finding the Third Proportional to 414,500 and 887,806

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Solution

The third proportional to 414,500 and 887,806 is: 1,901,566.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,500 : 887,806 = 887,806 : x
  2. Step 2: Convert to fraction form
    414,500/887,806 = 887,806/x
  3. Step 3: Cross multiply
    414,500x = 887,806 × 887,806
  4. Step 4: Simplify right side
    414,500x = 788,199,493,636
  5. Step 5: Solve for x
    x = 788,199,493,636/414,500
  6. Step 6: Final answer
    x = 1,901,566.93

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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.