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Finding the Third Proportional to 482,125.22 and 1,036,808.72

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Solution

The third proportional to 482,125.22 and 1,036,808.72 is: 2,229,653.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,125.22 : 1,036,808.72 = 1,036,808.72 : x
  2. Step 2: Convert to fraction form
    482,125.22/1,036,808.72 = 1,036,808.72/x
  3. Step 3: Cross multiply
    482,125.22x = 1,036,808.72 × 1,036,808.72
  4. Step 4: Simplify right side
    482,125.22x = 1,074,972,319,276.02
  5. Step 5: Solve for x
    x = 1,074,972,319,276.02/482,125.22
  6. Step 6: Final answer
    x = 2,229,653.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.