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Finding the Third Proportional to 1,783,324 and 3,857,520

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Solution

The third proportional to 1,783,324 and 3,857,520 is: 8,344,227.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,783,324 : 3,857,520 = 3,857,520 : x
  2. Step 2: Convert to fraction form
    1,783,324/3,857,520 = 3,857,520/x
  3. Step 3: Cross multiply
    1,783,324x = 3,857,520 × 3,857,520
  4. Step 4: Simplify right side
    1,783,324x = 14,880,460,550,400
  5. Step 5: Solve for x
    x = 14,880,460,550,400/1,783,324
  6. Step 6: Final answer
    x = 8,344,227.16

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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.