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Finding the Third Proportional to 744,805.69 and 1,579,001.06

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Solution

The third proportional to 744,805.69 and 1,579,001.06 is: 3,347,509.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    744,805.69 : 1,579,001.06 = 1,579,001.06 : x
  2. Step 2: Convert to fraction form
    744,805.69/1,579,001.06 = 1,579,001.06/x
  3. Step 3: Cross multiply
    744,805.69x = 1,579,001.06 × 1,579,001.06
  4. Step 4: Simplify right side
    744,805.69x = 2,493,244,355,376.13
  5. Step 5: Solve for x
    x = 2,493,244,355,376.13/744,805.69
  6. Step 6: Final answer
    x = 3,347,509.82

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.