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Finding the Third Proportional to 856,456 and 1,844,456

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Solution

The third proportional to 856,456 and 1,844,456 is: 3,972,203.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,456 : 1,844,456 = 1,844,456 : x
  2. Step 2: Convert to fraction form
    856,456/1,844,456 = 1,844,456/x
  3. Step 3: Cross multiply
    856,456x = 1,844,456 × 1,844,456
  4. Step 4: Simplify right side
    856,456x = 3,402,017,935,936
  5. Step 5: Solve for x
    x = 3,402,017,935,936/856,456
  6. Step 6: Final answer
    x = 3,972,203.98

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