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Finding the Third Proportional to 831,850 and 1,242,230

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Solution

The third proportional to 831,850 and 1,242,230 is: 1,855,064.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,850 : 1,242,230 = 1,242,230 : x
  2. Step 2: Convert to fraction form
    831,850/1,242,230 = 1,242,230/x
  3. Step 3: Cross multiply
    831,850x = 1,242,230 × 1,242,230
  4. Step 4: Simplify right side
    831,850x = 1,543,135,372,900
  5. Step 5: Solve for x
    x = 1,543,135,372,900/831,850
  6. Step 6: Final answer
    x = 1,855,064.46

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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.