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Finding the Third Proportional to 829,662.75 and 1,785,442.50

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Solution

The third proportional to 829,662.75 and 1,785,442.50 is: 3,842,290.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,662.75 : 1,785,442.50 = 1,785,442.50 : x
  2. Step 2: Convert to fraction form
    829,662.75/1,785,442.50 = 1,785,442.50/x
  3. Step 3: Cross multiply
    829,662.75x = 1,785,442.50 × 1,785,442.50
  4. Step 4: Simplify right side
    829,662.75x = 3,187,804,920,806.25
  5. Step 5: Solve for x
    x = 3,187,804,920,806.25/829,662.75
  6. Step 6: Final answer
    x = 3,842,290.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.