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Finding the Third Proportional to 882,113 and 1,242,234

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Solution

The third proportional to 882,113 and 1,242,234 is: 1,749,373.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    882,113 : 1,242,234 = 1,242,234 : x
  2. Step 2: Convert to fraction form
    882,113/1,242,234 = 1,242,234/x
  3. Step 3: Cross multiply
    882,113x = 1,242,234 × 1,242,234
  4. Step 4: Simplify right side
    882,113x = 1,543,145,310,756
  5. Step 5: Solve for x
    x = 1,543,145,310,756/882,113
  6. Step 6: Final answer
    x = 1,749,373.73

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.