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Finding the Third Proportional to 417,654 and 909,826

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Solution

The third proportional to 417,654 and 909,826 is: 1,981,983.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,654 : 909,826 = 909,826 : x
  2. Step 2: Convert to fraction form
    417,654/909,826 = 909,826/x
  3. Step 3: Cross multiply
    417,654x = 909,826 × 909,826
  4. Step 4: Simplify right side
    417,654x = 827,783,350,276
  5. Step 5: Solve for x
    x = 827,783,350,276/417,654
  6. Step 6: Final answer
    x = 1,981,983.53

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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.