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Finding the Third Proportional to 674,403 and 1,424,082

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Solution

The third proportional to 674,403 and 1,424,082 is: 3,007,118.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,403 : 1,424,082 = 1,424,082 : x
  2. Step 2: Convert to fraction form
    674,403/1,424,082 = 1,424,082/x
  3. Step 3: Cross multiply
    674,403x = 1,424,082 × 1,424,082
  4. Step 4: Simplify right side
    674,403x = 2,028,009,542,724
  5. Step 5: Solve for x
    x = 2,028,009,542,724/674,403
  6. Step 6: Final answer
    x = 3,007,118.21

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.