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Finding the Third Proportional to 417,282 and 901,086

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Solution

The third proportional to 417,282 and 901,086 is: 1,945,820.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,282 : 901,086 = 901,086 : x
  2. Step 2: Convert to fraction form
    417,282/901,086 = 901,086/x
  3. Step 3: Cross multiply
    417,282x = 901,086 × 901,086
  4. Step 4: Simplify right side
    417,282x = 811,955,979,396
  5. Step 5: Solve for x
    x = 811,955,979,396/417,282
  6. Step 6: Final answer
    x = 1,945,820.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.