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Finding the Third Proportional to 417,249 and 901,014

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Solution

The third proportional to 417,249 and 901,014 is: 1,945,663.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,249 : 901,014 = 901,014 : x
  2. Step 2: Convert to fraction form
    417,249/901,014 = 901,014/x
  3. Step 3: Cross multiply
    417,249x = 901,014 × 901,014
  4. Step 4: Simplify right side
    417,249x = 811,826,228,196
  5. Step 5: Solve for x
    x = 811,826,228,196/417,249
  6. Step 6: Final answer
    x = 1,945,663.69

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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.