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Finding the Third Proportional to 831,839 and 1,242,214

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Solution

The third proportional to 831,839 and 1,242,214 is: 1,855,041.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,839 : 1,242,214 = 1,242,214 : x
  2. Step 2: Convert to fraction form
    831,839/1,242,214 = 1,242,214/x
  3. Step 3: Cross multiply
    831,839x = 1,242,214 × 1,242,214
  4. Step 4: Simplify right side
    831,839x = 1,543,095,621,796
  5. Step 5: Solve for x
    x = 1,543,095,621,796/831,839
  6. Step 6: Final answer
    x = 1,855,041.21

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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.