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Finding the Third Proportional to 856,320.75 and 1,865,202.75

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Solution

The third proportional to 856,320.75 and 1,865,202.75 is: 4,062,708.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,320.75 : 1,865,202.75 = 1,865,202.75 : x
  2. Step 2: Convert to fraction form
    856,320.75/1,865,202.75 = 1,865,202.75/x
  3. Step 3: Cross multiply
    856,320.75x = 1,865,202.75 × 1,865,202.75
  4. Step 4: Simplify right side
    856,320.75x = 3,478,981,298,607.56
  5. Step 5: Solve for x
    x = 3,478,981,298,607.56/856,320.75
  6. Step 6: Final answer
    x = 4,062,708.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.