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Finding the Third Proportional to 844,747 and 1,838,216

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Solution

The third proportional to 844,747 and 1,838,216 is: 4,000,059.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    844,747 : 1,838,216 = 1,838,216 : x
  2. Step 2: Convert to fraction form
    844,747/1,838,216 = 1,838,216/x
  3. Step 3: Cross multiply
    844,747x = 1,838,216 × 1,838,216
  4. Step 4: Simplify right side
    844,747x = 3,379,038,062,656
  5. Step 5: Solve for x
    x = 3,379,038,062,656/844,747
  6. Step 6: Final answer
    x = 4,000,059.26

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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.