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Finding the Third Proportional to 631,040 and 946,848

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Solution

The third proportional to 631,040 and 946,848 is: 1,420,704.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,040 : 946,848 = 946,848 : x
  2. Step 2: Convert to fraction form
    631,040/946,848 = 946,848/x
  3. Step 3: Cross multiply
    631,040x = 946,848 × 946,848
  4. Step 4: Simplify right side
    631,040x = 896,521,135,104
  5. Step 5: Solve for x
    x = 896,521,135,104/631,040
  6. Step 6: Final answer
    x = 1,420,704.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.