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Finding the Third Proportional to 631,042 and 946,851

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Solution

The third proportional to 631,042 and 946,851 is: 1,420,708.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,042 : 946,851 = 946,851 : x
  2. Step 2: Convert to fraction form
    631,042/946,851 = 946,851/x
  3. Step 3: Cross multiply
    631,042x = 946,851 × 946,851
  4. Step 4: Simplify right side
    631,042x = 896,526,816,201
  5. Step 5: Solve for x
    x = 896,526,816,201/631,042
  6. Step 6: Final answer
    x = 1,420,708.63

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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.