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Finding the Third Proportional to 831,066 and 1,241,130

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Solution

The third proportional to 831,066 and 1,241,130 is: 1,853,527.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,066 : 1,241,130 = 1,241,130 : x
  2. Step 2: Convert to fraction form
    831,066/1,241,130 = 1,241,130/x
  3. Step 3: Cross multiply
    831,066x = 1,241,130 × 1,241,130
  4. Step 4: Simplify right side
    831,066x = 1,540,403,676,900
  5. Step 5: Solve for x
    x = 1,540,403,676,900/831,066
  6. Step 6: Final answer
    x = 1,853,527.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.