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Finding the Third Proportional to 459,904 and 987,008

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Solution

The third proportional to 459,904 and 987,008 is: 2,118,235.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,904 : 987,008 = 987,008 : x
  2. Step 2: Convert to fraction form
    459,904/987,008 = 987,008/x
  3. Step 3: Cross multiply
    459,904x = 987,008 × 987,008
  4. Step 4: Simplify right side
    459,904x = 974,184,792,064
  5. Step 5: Solve for x
    x = 974,184,792,064/459,904
  6. Step 6: Final answer
    x = 2,118,235.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.