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Finding the Third Proportional to 461,384 and 1,001,104

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Solution

The third proportional to 461,384 and 1,001,104 is: 2,172,180.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,384 : 1,001,104 = 1,001,104 : x
  2. Step 2: Convert to fraction form
    461,384/1,001,104 = 1,001,104/x
  3. Step 3: Cross multiply
    461,384x = 1,001,104 × 1,001,104
  4. Step 4: Simplify right side
    461,384x = 1,002,209,218,816
  5. Step 5: Solve for x
    x = 1,002,209,218,816/461,384
  6. Step 6: Final answer
    x = 2,172,180.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.