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Finding the Third Proportional to 829,671.19 and 1,805,351.63

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Solution

The third proportional to 829,671.19 and 1,805,351.63 is: 3,928,417.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,671.19 : 1,805,351.63 = 1,805,351.63 : x
  2. Step 2: Convert to fraction form
    829,671.19/1,805,351.63 = 1,805,351.63/x
  3. Step 3: Cross multiply
    829,671.19x = 1,805,351.63 × 1,805,351.63
  4. Step 4: Simplify right side
    829,671.19x = 3,259,294,489,890.14
  5. Step 5: Solve for x
    x = 3,259,294,489,890.14/829,671.19
  6. Step 6: Final answer
    x = 3,928,417.11

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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.