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Finding the Third Proportional to 669,504 and 1,444,128

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Solution

The third proportional to 669,504 and 1,444,128 is: 3,115,001.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,504 : 1,444,128 = 1,444,128 : x
  2. Step 2: Convert to fraction form
    669,504/1,444,128 = 1,444,128/x
  3. Step 3: Cross multiply
    669,504x = 1,444,128 × 1,444,128
  4. Step 4: Simplify right side
    669,504x = 2,085,505,680,384
  5. Step 5: Solve for x
    x = 2,085,505,680,384/669,504
  6. Step 6: Final answer
    x = 3,115,001.08

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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.