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Finding the Third Proportional to 839,099 and 1,242,911

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Solution

The third proportional to 839,099 and 1,242,911 is: 1,841,055.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    839,099 : 1,242,911 = 1,242,911 : x
  2. Step 2: Convert to fraction form
    839,099/1,242,911 = 1,242,911/x
  3. Step 3: Cross multiply
    839,099x = 1,242,911 × 1,242,911
  4. Step 4: Simplify right side
    839,099x = 1,544,827,753,921
  5. Step 5: Solve for x
    x = 1,544,827,753,921/839,099
  6. Step 6: Final answer
    x = 1,841,055.41

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.