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Finding the Third Proportional to 862,641 and 1,876,434

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Solution

The third proportional to 862,641 and 1,876,434 is: 4,081,656.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,641 : 1,876,434 = 1,876,434 : x
  2. Step 2: Convert to fraction form
    862,641/1,876,434 = 1,876,434/x
  3. Step 3: Cross multiply
    862,641x = 1,876,434 × 1,876,434
  4. Step 4: Simplify right side
    862,641x = 3,521,004,556,356
  5. Step 5: Solve for x
    x = 3,521,004,556,356/862,641
  6. Step 6: Final answer
    x = 4,081,656.86

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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.