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Finding the Third Proportional to 417,270 and 901,062

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Solution

The third proportional to 417,270 and 901,062 is: 1,945,773.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,270 : 901,062 = 901,062 : x
  2. Step 2: Convert to fraction form
    417,270/901,062 = 901,062/x
  3. Step 3: Cross multiply
    417,270x = 901,062 × 901,062
  4. Step 4: Simplify right side
    417,270x = 811,912,727,844
  5. Step 5: Solve for x
    x = 811,912,727,844/417,270
  6. Step 6: Final answer
    x = 1,945,773.07

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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.