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Finding the Third Proportional to 414,953 and 910,259

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Solution

The third proportional to 414,953 and 910,259 is: 1,996,783.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,953 : 910,259 = 910,259 : x
  2. Step 2: Convert to fraction form
    414,953/910,259 = 910,259/x
  3. Step 3: Cross multiply
    414,953x = 910,259 × 910,259
  4. Step 4: Simplify right side
    414,953x = 828,571,447,081
  5. Step 5: Solve for x
    x = 828,571,447,081/414,953
  6. Step 6: Final answer
    x = 1,996,783.85

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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.