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Finding the Third Proportional to 590,771 and 1,424,303

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Solution

The third proportional to 590,771 and 1,424,303 is: 3,433,883.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,771 : 1,424,303 = 1,424,303 : x
  2. Step 2: Convert to fraction form
    590,771/1,424,303 = 1,424,303/x
  3. Step 3: Cross multiply
    590,771x = 1,424,303 × 1,424,303
  4. Step 4: Simplify right side
    590,771x = 2,028,639,035,809
  5. Step 5: Solve for x
    x = 2,028,639,035,809/590,771
  6. Step 6: Final answer
    x = 3,433,883.92

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.