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Finding the Third Proportional to 856,444 and 1,844,432

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Solution

The third proportional to 856,444 and 1,844,432 is: 3,972,156.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,444 : 1,844,432 = 1,844,432 : x
  2. Step 2: Convert to fraction form
    856,444/1,844,432 = 1,844,432/x
  3. Step 3: Cross multiply
    856,444x = 1,844,432 × 1,844,432
  4. Step 4: Simplify right side
    856,444x = 3,401,929,402,624
  5. Step 5: Solve for x
    x = 3,401,929,402,624/856,444
  6. Step 6: Final answer
    x = 3,972,156.27

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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.