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Finding the Third Proportional to 727,856.44 and 1,531,008.56

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Solution

The third proportional to 727,856.44 and 1,531,008.56 is: 3,220,397.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,856.44 : 1,531,008.56 = 1,531,008.56 : x
  2. Step 2: Convert to fraction form
    727,856.44/1,531,008.56 = 1,531,008.56/x
  3. Step 3: Cross multiply
    727,856.44x = 1,531,008.56 × 1,531,008.56
  4. Step 4: Simplify right side
    727,856.44x = 2,343,987,218,448.32
  5. Step 5: Solve for x
    x = 2,343,987,218,448.32/727,856.44
  6. Step 6: Final answer
    x = 3,220,397.73

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.