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Finding the Third Proportional to 829,669.50 and 1,805,347.13

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Solution

The third proportional to 829,669.50 and 1,805,347.13 is: 3,928,405.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,669.50 : 1,805,347.13 = 1,805,347.13 : x
  2. Step 2: Convert to fraction form
    829,669.50/1,805,347.13 = 1,805,347.13/x
  3. Step 3: Cross multiply
    829,669.50x = 1,805,347.13 × 1,805,347.13
  4. Step 4: Simplify right side
    829,669.50x = 3,259,278,241,745.77
  5. Step 5: Solve for x
    x = 3,259,278,241,745.77/829,669.50
  6. Step 6: Final answer
    x = 3,928,405.52

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Why These Related Problems?

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