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Finding the Third Proportional to 475,676.25 and 1,001,152.31

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Solution

The third proportional to 475,676.25 and 1,001,152.31 is: 2,107,117.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,676.25 : 1,001,152.31 = 1,001,152.31 : x
  2. Step 2: Convert to fraction form
    475,676.25/1,001,152.31 = 1,001,152.31/x
  3. Step 3: Cross multiply
    475,676.25x = 1,001,152.31 × 1,001,152.31
  4. Step 4: Simplify right side
    475,676.25x = 1,002,305,952,824.10
  5. Step 5: Solve for x
    x = 1,002,305,952,824.10/475,676.25
  6. Step 6: Final answer
    x = 2,107,117.92

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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.