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Finding the Third Proportional to 414,890 and 910,100

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Solution

The third proportional to 414,890 and 910,100 is: 1,996,389.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,890 : 910,100 = 910,100 : x
  2. Step 2: Convert to fraction form
    414,890/910,100 = 910,100/x
  3. Step 3: Cross multiply
    414,890x = 910,100 × 910,100
  4. Step 4: Simplify right side
    414,890x = 828,282,010,000
  5. Step 5: Solve for x
    x = 828,282,010,000/414,890
  6. Step 6: Final answer
    x = 1,996,389.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.