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Finding the Third Proportional to 672,335.44 and 1,456,673.63

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Solution

The third proportional to 672,335.44 and 1,456,673.63 is: 3,156,011.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    672,335.44 : 1,456,673.63 = 1,456,673.63 : x
  2. Step 2: Convert to fraction form
    672,335.44/1,456,673.63 = 1,456,673.63/x
  3. Step 3: Cross multiply
    672,335.44x = 1,456,673.63 × 1,456,673.63
  4. Step 4: Simplify right side
    672,335.44x = 2,121,898,049,770.64
  5. Step 5: Solve for x
    x = 2,121,898,049,770.64/672,335.44
  6. Step 6: Final answer
    x = 3,156,011.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.