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Finding the Third Proportional to 862,380 and 1,875,765

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Solution

The third proportional to 862,380 and 1,875,765 is: 4,079,981.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,380 : 1,875,765 = 1,875,765 : x
  2. Step 2: Convert to fraction form
    862,380/1,875,765 = 1,875,765/x
  3. Step 3: Cross multiply
    862,380x = 1,875,765 × 1,875,765
  4. Step 4: Simplify right side
    862,380x = 3,518,494,335,225
  5. Step 5: Solve for x
    x = 3,518,494,335,225/862,380
  6. Step 6: Final answer
    x = 4,079,981.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.