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Finding the Third Proportional to 424,041 and 921,702

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Solution

The third proportional to 424,041 and 921,702 is: 2,003,425.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,041 : 921,702 = 921,702 : x
  2. Step 2: Convert to fraction form
    424,041/921,702 = 921,702/x
  3. Step 3: Cross multiply
    424,041x = 921,702 × 921,702
  4. Step 4: Simplify right side
    424,041x = 849,534,576,804
  5. Step 5: Solve for x
    x = 849,534,576,804/424,041
  6. Step 6: Final answer
    x = 2,003,425.56

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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.