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Finding the Third Proportional to 831,132 and 1,819,914

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Solution

The third proportional to 831,132 and 1,819,914 is: 3,985,031.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,132 : 1,819,914 = 1,819,914 : x
  2. Step 2: Convert to fraction form
    831,132/1,819,914 = 1,819,914/x
  3. Step 3: Cross multiply
    831,132x = 1,819,914 × 1,819,914
  4. Step 4: Simplify right side
    831,132x = 3,312,086,967,396
  5. Step 5: Solve for x
    x = 3,312,086,967,396/831,132
  6. Step 6: Final answer
    x = 3,985,031.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.