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Finding the Third Proportional to 856,809 and 1,861,114.50

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Solution

The third proportional to 856,809 and 1,861,114.50 is: 4,042,612.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,809 : 1,861,114.50 = 1,861,114.50 : x
  2. Step 2: Convert to fraction form
    856,809/1,861,114.50 = 1,861,114.50/x
  3. Step 3: Cross multiply
    856,809x = 1,861,114.50 × 1,861,114.50
  4. Step 4: Simplify right side
    856,809x = 3,463,747,182,110.25
  5. Step 5: Solve for x
    x = 3,463,747,182,110.25/856,809
  6. Step 6: Final answer
    x = 4,042,612.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.