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Finding the Third Proportional to 746,846 and 1,620,143

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Solution

The third proportional to 746,846 and 1,620,143 is: 3,514,597.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,846 : 1,620,143 = 1,620,143 : x
  2. Step 2: Convert to fraction form
    746,846/1,620,143 = 1,620,143/x
  3. Step 3: Cross multiply
    746,846x = 1,620,143 × 1,620,143
  4. Step 4: Simplify right side
    746,846x = 2,624,863,340,449
  5. Step 5: Solve for x
    x = 2,624,863,340,449/746,846
  6. Step 6: Final answer
    x = 3,514,597.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.