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Finding the Third Proportional to 856,480 and 1,844,504

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Solution

The third proportional to 856,480 and 1,844,504 is: 3,972,299.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,480 : 1,844,504 = 1,844,504 : x
  2. Step 2: Convert to fraction form
    856,480/1,844,504 = 1,844,504/x
  3. Step 3: Cross multiply
    856,480x = 1,844,504 × 1,844,504
  4. Step 4: Simplify right side
    856,480x = 3,402,195,006,016
  5. Step 5: Solve for x
    x = 3,402,195,006,016/856,480
  6. Step 6: Final answer
    x = 3,972,299.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.