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Finding the Third Proportional to 856,001 and 1,281,324

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Solution

The third proportional to 856,001 and 1,281,324 is: 1,917,978.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,001 : 1,281,324 = 1,281,324 : x
  2. Step 2: Convert to fraction form
    856,001/1,281,324 = 1,281,324/x
  3. Step 3: Cross multiply
    856,001x = 1,281,324 × 1,281,324
  4. Step 4: Simplify right side
    856,001x = 1,641,791,192,976
  5. Step 5: Solve for x
    x = 1,641,791,192,976/856,001
  6. Step 6: Final answer
    x = 1,917,978.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.