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Finding the Third Proportional to 783,670 and 1,600,551

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Solution

The third proportional to 783,670 and 1,600,551 is: 3,268,931.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,670 : 1,600,551 = 1,600,551 : x
  2. Step 2: Convert to fraction form
    783,670/1,600,551 = 1,600,551/x
  3. Step 3: Cross multiply
    783,670x = 1,600,551 × 1,600,551
  4. Step 4: Simplify right side
    783,670x = 2,561,763,503,601
  5. Step 5: Solve for x
    x = 2,561,763,503,601/783,670
  6. Step 6: Final answer
    x = 3,268,931.44

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.