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Finding the Third Proportional to 459,918 and 1,000,836

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Solution

The third proportional to 459,918 and 1,000,836 is: 2,177,937.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,918 : 1,000,836 = 1,000,836 : x
  2. Step 2: Convert to fraction form
    459,918/1,000,836 = 1,000,836/x
  3. Step 3: Cross multiply
    459,918x = 1,000,836 × 1,000,836
  4. Step 4: Simplify right side
    459,918x = 1,001,672,698,896
  5. Step 5: Solve for x
    x = 1,001,672,698,896/459,918
  6. Step 6: Final answer
    x = 2,177,937.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.