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Finding the Third Proportional to 632,664 and 1,493,424

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Solution

The third proportional to 632,664 and 1,493,424 is: 3,525,276.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,664 : 1,493,424 = 1,493,424 : x
  2. Step 2: Convert to fraction form
    632,664/1,493,424 = 1,493,424/x
  3. Step 3: Cross multiply
    632,664x = 1,493,424 × 1,493,424
  4. Step 4: Simplify right side
    632,664x = 2,230,315,243,776
  5. Step 5: Solve for x
    x = 2,230,315,243,776/632,664
  6. Step 6: Final answer
    x = 3,525,276.05

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.