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Finding the Third Proportional to 970,800 and 2,019,072

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Solution

The third proportional to 970,800 and 2,019,072 is: 4,199,270.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,800 : 2,019,072 = 2,019,072 : x
  2. Step 2: Convert to fraction form
    970,800/2,019,072 = 2,019,072/x
  3. Step 3: Cross multiply
    970,800x = 2,019,072 × 2,019,072
  4. Step 4: Simplify right side
    970,800x = 4,076,651,741,184
  5. Step 5: Solve for x
    x = 4,076,651,741,184/970,800
  6. Step 6: Final answer
    x = 4,199,270.44

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.