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Finding the Third Proportional to 970,022 and 2,116,252

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Solution

The third proportional to 970,022 and 2,116,252 is: 4,616,928.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,022 : 2,116,252 = 2,116,252 : x
  2. Step 2: Convert to fraction form
    970,022/2,116,252 = 2,116,252/x
  3. Step 3: Cross multiply
    970,022x = 2,116,252 × 2,116,252
  4. Step 4: Simplify right side
    970,022x = 4,478,522,527,504
  5. Step 5: Solve for x
    x = 4,478,522,527,504/970,022
  6. Step 6: Final answer
    x = 4,616,928.82

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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.