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Finding the Third Proportional to 842,702.46 and 1,857,189.08

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Solution

The third proportional to 842,702.46 and 1,857,189.08 is: 4,092,964.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,702.46 : 1,857,189.08 = 1,857,189.08 : x
  2. Step 2: Convert to fraction form
    842,702.46/1,857,189.08 = 1,857,189.08/x
  3. Step 3: Cross multiply
    842,702.46x = 1,857,189.08 × 1,857,189.08
  4. Step 4: Simplify right side
    842,702.46x = 3,449,151,280,974.70
  5. Step 5: Solve for x
    x = 3,449,151,280,974.70/842,702.46
  6. Step 6: Final answer
    x = 4,092,964.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.