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Finding the Third Proportional to 859,654 and 1,846,146

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Solution

The third proportional to 859,654 and 1,846,146 is: 3,964,682.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    859,654 : 1,846,146 = 1,846,146 : x
  2. Step 2: Convert to fraction form
    859,654/1,846,146 = 1,846,146/x
  3. Step 3: Cross multiply
    859,654x = 1,846,146 × 1,846,146
  4. Step 4: Simplify right side
    859,654x = 3,408,255,053,316
  5. Step 5: Solve for x
    x = 3,408,255,053,316/859,654
  6. Step 6: Final answer
    x = 3,964,682.36

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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.