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Finding the Third Proportional to 461,239.31 and 1,011,310.31

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Solution

The third proportional to 461,239.31 and 1,011,310.31 is: 2,217,392.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,239.31 : 1,011,310.31 = 1,011,310.31 : x
  2. Step 2: Convert to fraction form
    461,239.31/1,011,310.31 = 1,011,310.31/x
  3. Step 3: Cross multiply
    461,239.31x = 1,011,310.31 × 1,011,310.31
  4. Step 4: Simplify right side
    461,239.31x = 1,022,748,548,168.85
  5. Step 5: Solve for x
    x = 1,022,748,548,168.85/461,239.31
  6. Step 6: Final answer
    x = 2,217,392.40

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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.