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Finding the Third Proportional to 837,144 and 1,833,534

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Solution

The third proportional to 837,144 and 1,833,534 is: 4,015,852.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    837,144 : 1,833,534 = 1,833,534 : x
  2. Step 2: Convert to fraction form
    837,144/1,833,534 = 1,833,534/x
  3. Step 3: Cross multiply
    837,144x = 1,833,534 × 1,833,534
  4. Step 4: Simplify right side
    837,144x = 3,361,846,929,156
  5. Step 5: Solve for x
    x = 3,361,846,929,156/837,144
  6. Step 6: Final answer
    x = 4,015,852.62

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