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Finding the Third Proportional to 651,714.94 and 1,363,016.63

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Solution

The third proportional to 651,714.94 and 1,363,016.63 is: 2,850,654.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,714.94 : 1,363,016.63 = 1,363,016.63 : x
  2. Step 2: Convert to fraction form
    651,714.94/1,363,016.63 = 1,363,016.63/x
  3. Step 3: Cross multiply
    651,714.94x = 1,363,016.63 × 1,363,016.63
  4. Step 4: Simplify right side
    651,714.94x = 1,857,814,320,026.39
  5. Step 5: Solve for x
    x = 1,857,814,320,026.39/651,714.94
  6. Step 6: Final answer
    x = 2,850,654.81

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.