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Finding the Third Proportional to 674,407.75 and 1,444,465

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Solution

The third proportional to 674,407.75 and 1,444,465 is: 3,093,794.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,407.75 : 1,444,465 = 1,444,465 : x
  2. Step 2: Convert to fraction form
    674,407.75/1,444,465 = 1,444,465/x
  3. Step 3: Cross multiply
    674,407.75x = 1,444,465 × 1,444,465
  4. Step 4: Simplify right side
    674,407.75x = 2,086,479,136,225
  5. Step 5: Solve for x
    x = 2,086,479,136,225/674,407.75
  6. Step 6: Final answer
    x = 3,093,794.72

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.