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Finding the Third Proportional to 787,870 and 1,728,920

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Solution

The third proportional to 787,870 and 1,728,920 is: 3,793,981.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,870 : 1,728,920 = 1,728,920 : x
  2. Step 2: Convert to fraction form
    787,870/1,728,920 = 1,728,920/x
  3. Step 3: Cross multiply
    787,870x = 1,728,920 × 1,728,920
  4. Step 4: Simplify right side
    787,870x = 2,989,164,366,400
  5. Step 5: Solve for x
    x = 2,989,164,366,400/787,870
  6. Step 6: Final answer
    x = 3,793,981.71

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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.