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Finding the Third Proportional to 802,086 and 1,783,482

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Solution

The third proportional to 802,086 and 1,783,482 is: 3,965,669.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,086 : 1,783,482 = 1,783,482 : x
  2. Step 2: Convert to fraction form
    802,086/1,783,482 = 1,783,482/x
  3. Step 3: Cross multiply
    802,086x = 1,783,482 × 1,783,482
  4. Step 4: Simplify right side
    802,086x = 3,180,808,044,324
  5. Step 5: Solve for x
    x = 3,180,808,044,324/802,086
  6. Step 6: Final answer
    x = 3,965,669.57

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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.