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Finding the Third Proportional to 840,210.75 and 1,843,690.50

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Solution

The third proportional to 840,210.75 and 1,843,690.50 is: 4,045,645.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,210.75 : 1,843,690.50 = 1,843,690.50 : x
  2. Step 2: Convert to fraction form
    840,210.75/1,843,690.50 = 1,843,690.50/x
  3. Step 3: Cross multiply
    840,210.75x = 1,843,690.50 × 1,843,690.50
  4. Step 4: Simplify right side
    840,210.75x = 3,399,194,659,790.25
  5. Step 5: Solve for x
    x = 3,399,194,659,790.25/840,210.75
  6. Step 6: Final answer
    x = 4,045,645.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.