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Finding the Third Proportional to 648,914 and 1,397,660

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Solution

The third proportional to 648,914 and 1,397,660 is: 3,010,342.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,914 : 1,397,660 = 1,397,660 : x
  2. Step 2: Convert to fraction form
    648,914/1,397,660 = 1,397,660/x
  3. Step 3: Cross multiply
    648,914x = 1,397,660 × 1,397,660
  4. Step 4: Simplify right side
    648,914x = 1,953,453,475,600
  5. Step 5: Solve for x
    x = 1,953,453,475,600/648,914
  6. Step 6: Final answer
    x = 3,010,342.63

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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.