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Finding the Third Proportional to 534,963 and 831,011

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Solution

The third proportional to 534,963 and 831,011 is: 1,290,891.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,963 : 831,011 = 831,011 : x
  2. Step 2: Convert to fraction form
    534,963/831,011 = 831,011/x
  3. Step 3: Cross multiply
    534,963x = 831,011 × 831,011
  4. Step 4: Simplify right side
    534,963x = 690,579,282,121
  5. Step 5: Solve for x
    x = 690,579,282,121/534,963
  6. Step 6: Final answer
    x = 1,290,891.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.