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Finding the Third Proportional to 655,062.19 and 1,431,566.16

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Solution

The third proportional to 655,062.19 and 1,431,566.16 is: 3,128,529.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,062.19 : 1,431,566.16 = 1,431,566.16 : x
  2. Step 2: Convert to fraction form
    655,062.19/1,431,566.16 = 1,431,566.16/x
  3. Step 3: Cross multiply
    655,062.19x = 1,431,566.16 × 1,431,566.16
  4. Step 4: Simplify right side
    655,062.19x = 2,049,381,659,720.40
  5. Step 5: Solve for x
    x = 2,049,381,659,720.40/655,062.19
  6. Step 6: Final answer
    x = 3,128,529.93

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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.