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Finding the Third Proportional to 800,487.75 and 1,750,298.25

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Solution

The third proportional to 800,487.75 and 1,750,298.25 is: 3,827,096.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,487.75 : 1,750,298.25 = 1,750,298.25 : x
  2. Step 2: Convert to fraction form
    800,487.75/1,750,298.25 = 1,750,298.25/x
  3. Step 3: Cross multiply
    800,487.75x = 1,750,298.25 × 1,750,298.25
  4. Step 4: Simplify right side
    800,487.75x = 3,063,543,963,953.06
  5. Step 5: Solve for x
    x = 3,063,543,963,953.06/800,487.75
  6. Step 6: Final answer
    x = 3,827,096.62

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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.