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Finding the Third Proportional to 744,050 and 1,611,724

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Solution

The third proportional to 744,050 and 1,611,724 is: 3,491,236.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    744,050 : 1,611,724 = 1,611,724 : x
  2. Step 2: Convert to fraction form
    744,050/1,611,724 = 1,611,724/x
  3. Step 3: Cross multiply
    744,050x = 1,611,724 × 1,611,724
  4. Step 4: Simplify right side
    744,050x = 2,597,654,252,176
  5. Step 5: Solve for x
    x = 2,597,654,252,176/744,050
  6. Step 6: Final answer
    x = 3,491,236.14

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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.