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Finding the Third Proportional to 579,829 and 1,175,969.25

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Solution

The third proportional to 579,829 and 1,175,969.25 is: 2,385,019.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,829 : 1,175,969.25 = 1,175,969.25 : x
  2. Step 2: Convert to fraction form
    579,829/1,175,969.25 = 1,175,969.25/x
  3. Step 3: Cross multiply
    579,829x = 1,175,969.25 × 1,175,969.25
  4. Step 4: Simplify right side
    579,829x = 1,382,903,676,945.56
  5. Step 5: Solve for x
    x = 1,382,903,676,945.56/579,829
  6. Step 6: Final answer
    x = 2,385,019.85

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.