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Finding the Third Proportional to 748,347.75 and 1,646,172

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Solution

The third proportional to 748,347.75 and 1,646,172 is: 3,621,153.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,347.75 : 1,646,172 = 1,646,172 : x
  2. Step 2: Convert to fraction form
    748,347.75/1,646,172 = 1,646,172/x
  3. Step 3: Cross multiply
    748,347.75x = 1,646,172 × 1,646,172
  4. Step 4: Simplify right side
    748,347.75x = 2,709,882,253,584
  5. Step 5: Solve for x
    x = 2,709,882,253,584/748,347.75
  6. Step 6: Final answer
    x = 3,621,153.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.