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Finding the Third Proportional to 816,384 and 1,772,880

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Solution

The third proportional to 816,384 and 1,772,880 is: 3,850,030.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,384 : 1,772,880 = 1,772,880 : x
  2. Step 2: Convert to fraction form
    816,384/1,772,880 = 1,772,880/x
  3. Step 3: Cross multiply
    816,384x = 1,772,880 × 1,772,880
  4. Step 4: Simplify right side
    816,384x = 3,143,103,494,400
  5. Step 5: Solve for x
    x = 3,143,103,494,400/816,384
  6. Step 6: Final answer
    x = 3,850,030.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.