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Finding the Third Proportional to 631,932.89 and 1,026,671.20

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Solution

The third proportional to 631,932.89 and 1,026,671.20 is: 1,667,983.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,932.89 : 1,026,671.20 = 1,026,671.20 : x
  2. Step 2: Convert to fraction form
    631,932.89/1,026,671.20 = 1,026,671.20/x
  3. Step 3: Cross multiply
    631,932.89x = 1,026,671.20 × 1,026,671.20
  4. Step 4: Simplify right side
    631,932.89x = 1,054,053,759,326.14
  5. Step 5: Solve for x
    x = 1,054,053,759,326.14/631,932.89
  6. Step 6: Final answer
    x = 1,667,983.70

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.