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Finding the Third Proportional to 569,738.81 and 1,245,349.69

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Solution

The third proportional to 569,738.81 and 1,245,349.69 is: 2,722,117.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,738.81 : 1,245,349.69 = 1,245,349.69 : x
  2. Step 2: Convert to fraction form
    569,738.81/1,245,349.69 = 1,245,349.69/x
  3. Step 3: Cross multiply
    569,738.81x = 1,245,349.69 × 1,245,349.69
  4. Step 4: Simplify right side
    569,738.81x = 1,550,895,844,156.35
  5. Step 5: Solve for x
    x = 1,550,895,844,156.35/569,738.81
  6. Step 6: Final answer
    x = 2,722,117.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.