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Finding the Third Proportional to 851,073 and 1,836,639

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Solution

The third proportional to 851,073 and 1,836,639 is: 3,963,517.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,073 : 1,836,639 = 1,836,639 : x
  2. Step 2: Convert to fraction form
    851,073/1,836,639 = 1,836,639/x
  3. Step 3: Cross multiply
    851,073x = 1,836,639 × 1,836,639
  4. Step 4: Simplify right side
    851,073x = 3,373,242,816,321
  5. Step 5: Solve for x
    x = 3,373,242,816,321/851,073
  6. Step 6: Final answer
    x = 3,963,517.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.