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Finding the Third Proportional to 827,992.13 and 1,214,726.63

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Solution

The third proportional to 827,992.13 and 1,214,726.63 is: 1,782,095.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,992.13 : 1,214,726.63 = 1,214,726.63 : x
  2. Step 2: Convert to fraction form
    827,992.13/1,214,726.63 = 1,214,726.63/x
  3. Step 3: Cross multiply
    827,992.13x = 1,214,726.63 × 1,214,726.63
  4. Step 4: Simplify right side
    827,992.13x = 1,475,560,773,483.89
  5. Step 5: Solve for x
    x = 1,475,560,773,483.89/827,992.13
  6. Step 6: Final answer
    x = 1,782,095.18

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.