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Finding the Third Proportional to 414,371 and 915,858

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Solution

The third proportional to 414,371 and 915,858 is: 2,024,262.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,371 : 915,858 = 915,858 : x
  2. Step 2: Convert to fraction form
    414,371/915,858 = 915,858/x
  3. Step 3: Cross multiply
    414,371x = 915,858 × 915,858
  4. Step 4: Simplify right side
    414,371x = 838,795,876,164
  5. Step 5: Solve for x
    x = 838,795,876,164/414,371
  6. Step 6: Final answer
    x = 2,024,262.98

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.