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Finding the Third Proportional to 856,816 and 1,861,129

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Solution

The third proportional to 856,816 and 1,861,129 is: 4,042,642.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,816 : 1,861,129 = 1,861,129 : x
  2. Step 2: Convert to fraction form
    856,816/1,861,129 = 1,861,129/x
  3. Step 3: Cross multiply
    856,816x = 1,861,129 × 1,861,129
  4. Step 4: Simplify right side
    856,816x = 3,463,801,154,641
  5. Step 5: Solve for x
    x = 3,463,801,154,641/856,816
  6. Step 6: Final answer
    x = 4,042,642.94

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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.