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Finding the Third Proportional to 829,683 and 1,809,534

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Solution

The third proportional to 829,683 and 1,809,534 is: 3,946,583.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,683 : 1,809,534 = 1,809,534 : x
  2. Step 2: Convert to fraction form
    829,683/1,809,534 = 1,809,534/x
  3. Step 3: Cross multiply
    829,683x = 1,809,534 × 1,809,534
  4. Step 4: Simplify right side
    829,683x = 3,274,413,297,156
  5. Step 5: Solve for x
    x = 3,274,413,297,156/829,683
  6. Step 6: Final answer
    x = 3,946,583.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.