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Finding the Third Proportional to 648,932 and 1,397,661

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Solution

The third proportional to 648,932 and 1,397,661 is: 3,010,263.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,932 : 1,397,661 = 1,397,661 : x
  2. Step 2: Convert to fraction form
    648,932/1,397,661 = 1,397,661/x
  3. Step 3: Cross multiply
    648,932x = 1,397,661 × 1,397,661
  4. Step 4: Simplify right side
    648,932x = 1,953,456,270,921
  5. Step 5: Solve for x
    x = 1,953,456,270,921/648,932
  6. Step 6: Final answer
    x = 3,010,263.43

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.