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Finding the Third Proportional to 380,783 and 846,670

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Solution

The third proportional to 380,783 and 846,670 is: 1,882,568.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,783 : 846,670 = 846,670 : x
  2. Step 2: Convert to fraction form
    380,783/846,670 = 846,670/x
  3. Step 3: Cross multiply
    380,783x = 846,670 × 846,670
  4. Step 4: Simplify right side
    380,783x = 716,850,088,900
  5. Step 5: Solve for x
    x = 716,850,088,900/380,783
  6. Step 6: Final answer
    x = 1,882,568.52

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.