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Finding the Third Proportional to 414,728 and 917,008

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Solution

The third proportional to 414,728 and 917,008 is: 2,027,602.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,728 : 917,008 = 917,008 : x
  2. Step 2: Convert to fraction form
    414,728/917,008 = 917,008/x
  3. Step 3: Cross multiply
    414,728x = 917,008 × 917,008
  4. Step 4: Simplify right side
    414,728x = 840,903,672,064
  5. Step 5: Solve for x
    x = 840,903,672,064/414,728
  6. Step 6: Final answer
    x = 2,027,602.84

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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.