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Finding the Third Proportional to 787,673 and 1,727,829

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Solution

The third proportional to 787,673 and 1,727,829 is: 3,790,142.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,673 : 1,727,829 = 1,727,829 : x
  2. Step 2: Convert to fraction form
    787,673/1,727,829 = 1,727,829/x
  3. Step 3: Cross multiply
    787,673x = 1,727,829 × 1,727,829
  4. Step 4: Simplify right side
    787,673x = 2,985,393,053,241
  5. Step 5: Solve for x
    x = 2,985,393,053,241/787,673
  6. Step 6: Final answer
    x = 3,790,142.68

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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.