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Finding the Third Proportional to 862,846 and 1,881,423

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Solution

The third proportional to 862,846 and 1,881,423 is: 4,102,415.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,846 : 1,881,423 = 1,881,423 : x
  2. Step 2: Convert to fraction form
    862,846/1,881,423 = 1,881,423/x
  3. Step 3: Cross multiply
    862,846x = 1,881,423 × 1,881,423
  4. Step 4: Simplify right side
    862,846x = 3,539,752,504,929
  5. Step 5: Solve for x
    x = 3,539,752,504,929/862,846
  6. Step 6: Final answer
    x = 4,102,415.15

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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.