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Finding the Third Proportional to 462,979.13 and 1,010,795.63

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Solution

The third proportional to 462,979.13 and 1,010,795.63 is: 2,206,811.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,979.13 : 1,010,795.63 = 1,010,795.63 : x
  2. Step 2: Convert to fraction form
    462,979.13/1,010,795.63 = 1,010,795.63/x
  3. Step 3: Cross multiply
    462,979.13x = 1,010,795.63 × 1,010,795.63
  4. Step 4: Simplify right side
    462,979.13x = 1,021,707,795,519.14
  5. Step 5: Solve for x
    x = 1,021,707,795,519.14/462,979.13
  6. Step 6: Final answer
    x = 2,206,811.80

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.