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Finding the Third Proportional to 856,770 and 1,861,240

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Solution

The third proportional to 856,770 and 1,861,240 is: 4,043,342.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,770 : 1,861,240 = 1,861,240 : x
  2. Step 2: Convert to fraction form
    856,770/1,861,240 = 1,861,240/x
  3. Step 3: Cross multiply
    856,770x = 1,861,240 × 1,861,240
  4. Step 4: Simplify right side
    856,770x = 3,464,214,337,600
  5. Step 5: Solve for x
    x = 3,464,214,337,600/856,770
  6. Step 6: Final answer
    x = 4,043,342.25

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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.