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Finding the Third Proportional to 679,058.44 and 1,413,900.56

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Solution

The third proportional to 679,058.44 and 1,413,900.56 is: 2,943,951.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    679,058.44 : 1,413,900.56 = 1,413,900.56 : x
  2. Step 2: Convert to fraction form
    679,058.44/1,413,900.56 = 1,413,900.56/x
  3. Step 3: Cross multiply
    679,058.44x = 1,413,900.56 × 1,413,900.56
  4. Step 4: Simplify right side
    679,058.44x = 1,999,114,800,637.82
  5. Step 5: Solve for x
    x = 1,999,114,800,637.82/679,058.44
  6. Step 6: Final answer
    x = 2,943,951.05

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.